S. Eilenberg and S. MacLane :
“Infinite cycles and homologies ,”
Proc. Natl. Acad. Sci. U.S.A.
27 : 11
(November 1941 ),
pp. 535–539 .
MR
0005351
Zbl
0061.40601
article
Abstract
People
BibTeX
@article {key0005351m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Infinite cycles and homologies},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {27},
NUMBER = {11},
MONTH = {November},
YEAR = {1941},
PAGES = {535--539},
DOI = {10.1073/pnas.27.11.535},
NOTE = {MR:0005351. Zbl:0061.40601.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Group extensions and homology ,”
Ann. Math. (2)
43 : 4
(October 1942 ),
pp. 757–831 .
MR
0007108
Zbl
0061.40602
article
People
BibTeX
@article {key0007108m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Group extensions and homology},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {43},
NUMBER = {4},
MONTH = {October},
YEAR = {1942},
PAGES = {757--831},
DOI = {10.2307/1968966},
NOTE = {MR:0007108. Zbl:0061.40602.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Natural isomorphisms in group theory ,”
Proc. Natl. Acad. Sci. U.S.A.
28 : 12
(December 1942 ),
pp. 537–543 .
See also article in Gaz. Mat. 29 :109–112 (1968) .
MR
0007421
Zbl
0061.09203
article
Abstract
People
BibTeX
Frequently in modern mathematics there occur phenomena of “naturality”: a “natural” isomorphism between two groups or between two complexes, a “natural” homeomorphism of two spaces and the like. We here propose a precise definition of the “naturality” of such correspondences, as a basis for an appropriate general theory. In this preliminary report we restrict ourselves to the natural isomorphisms of group theory; with this limitation we can present the basic concepts of our theory without developing the axiomatic approach necessary for a general treatment applicable to various branches of mathematics.
@article {key0007421m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Natural isomorphisms in group theory},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {28},
NUMBER = {12},
MONTH = {December},
YEAR = {1942},
PAGES = {537--543},
DOI = {10.1073/pnas.28.12.537},
NOTE = {See also article in \textit{Gaz. Mat.}
\textbf{29}:109--112 (1968). MR:0007421.
Zbl:0061.09203.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Relations between homology and homotopy groups ,”
Proc. Natl. Acad. Sci. U.S.A.
29 : 5
(May 1943 ),
pp. 155–158 .
MR
0007982
Zbl
0061.40701
article
People
BibTeX
@article {key0007982m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Relations between homology and homotopy
groups},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {29},
NUMBER = {5},
MONTH = {May},
YEAR = {1943},
PAGES = {155--158},
DOI = {10.1073/pnas.29.5.155},
NOTE = {MR:0007982. Zbl:0061.40701.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“General theory of natural equivalences ,”
Trans. Am. Math. Soc.
58 : 2
(September 1945 ),
pp. 231–294 .
MR
0013131
Zbl
0061.09204
article
People
BibTeX
@article {key0013131m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {General theory of natural equivalences},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {58},
NUMBER = {2},
MONTH = {September},
YEAR = {1945},
PAGES = {231--294},
DOI = {10.2307/1990284},
NOTE = {MR:0013131. Zbl:0061.09204.},
ISSN = {0002-9947},
}
S. Eilenberg and S. MacLane :
“Relations between homology and homotopy groups of spaces ,”
Ann. Math. (2)
46 : 3
(July 1945 ),
pp. 480–509 .
MR
0013312
Zbl
0061.40702
article
People
BibTeX
@article {key0013312m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Relations between homology and homotopy
groups of spaces},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {46},
NUMBER = {3},
MONTH = {July},
YEAR = {1945},
PAGES = {480--509},
DOI = {10.2307/1969165},
NOTE = {MR:0013312. Zbl:0061.40702.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Determination of the second homology and cohomology groups of a space by means of homotopy invariants ,”
Proc. Natl. Acad. Sci. U.S.A.
32 : 11
(November 1946 ),
pp. 277–280 .
MR
0019307
Zbl
0061.40707
article
People
BibTeX
@article {key0019307m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Determination of the second homology
and cohomology groups of a space by
means of homotopy invariants},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {32},
NUMBER = {11},
MONTH = {November},
YEAR = {1946},
PAGES = {277--280},
DOI = {10.1073/pnas.32.11.277},
NOTE = {MR:0019307. Zbl:0061.40707.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Cohomology theory in abstract groups, II: Group extensions with a non-Abelian kernel ,”
Ann. Math. (2)
48 : 2
(April 1947 ),
pp. 326–341 .
MR
0020996
Zbl
0029.34101
article
Abstract
People
BibTeX
The problem of group extensions resides in the construction of the manifold of all groups with a given normal subroup \( K \) and a corresponding given factor group \( Q \) . When the given subgroup \( K \) is abelian, this manifold leads to the various two-dimensional cohomology groups of \( Q \) with coefficients in \( K \) . When \( K \) is not abelian, and when the automorphisms which the cosets of \( Q \) induce on \( K \) are specified, it is possible [Baer 1934] that no extension of the specified character can exist. In this paper we obtain a necessary and sufficient condition for the existence of such an extension, formulated in terms of a certain three-dimensional cocycle. In the case when such an extension can exist, we show that the manifold of such extensions is equivalent to the manifold of extensions of a certain abelian subgroup. This analysis also leads to an interpretation of the three-dimensional cohomology group \( Q \) over an abelian coefficient group \( G \) .
@article {key0020996m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology theory in abstract groups,
{II}: {G}roup extensions with a non-{A}belian
kernel},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {48},
NUMBER = {2},
MONTH = {April},
YEAR = {1947},
PAGES = {326--341},
DOI = {10.2307/1969174},
NOTE = {MR:0020996. Zbl:0029.34101.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Algebraic cohomology groups and loops ,”
Duke Math. J.
14 : 2
(1947 ),
pp. 435–463 .
MR
0021939
Zbl
0029.34102
article
People
BibTeX
@article {key0021939m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Algebraic cohomology groups and loops},
JOURNAL = {Duke Math. J.},
FJOURNAL = {Duke Mathematical Journal},
VOLUME = {14},
NUMBER = {2},
YEAR = {1947},
PAGES = {435--463},
DOI = {10.1215/S0012-7094-47-01437-3},
NOTE = {MR:0021939. Zbl:0029.34102.},
ISSN = {0012-7094},
}
S. Eilenberg and S. MacLane :
“Cohomology theory in abstract groups, I ,”
Ann. Math. (2)
48 : 1
(January 1947 ),
pp. 51–78 .
MR
0019092
Zbl
0029.34001
article
People
BibTeX
@article {key0019092m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology theory in abstract groups,
{I}},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {48},
NUMBER = {1},
MONTH = {January},
YEAR = {1947},
PAGES = {51--78},
DOI = {10.2307/1969215},
NOTE = {MR:0019092. Zbl:0029.34001.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Cohomology and Galois theory, I: Normality of algebras and Teichmüller’s cocycle ,”
Trans. Am. Math. Soc.
64 : 1
(July 1948 ),
pp. 1–20 .
MR
0025443
Zbl
0031.34301
article
People
BibTeX
@article {key0025443m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology and {G}alois theory, {I}:
{N}ormality of algebras and {T}eichm\"uller's
cocycle},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {64},
NUMBER = {1},
MONTH = {July},
YEAR = {1948},
PAGES = {1--20},
DOI = {10.2307/1990556},
NOTE = {MR:0025443. Zbl:0031.34301.},
ISSN = {0002-9947},
}
S. Eilenberg and S. MacLane :
“Homology of spaces with operators, II ,”
Trans. Am. Math. Soc.
65 : 1
(1949 ),
pp. 49–99 .
Part I was by Eilenberg alone, Trans. Amer. Math. Soc. 61 (1947), pp. 378–417.
MR
0033001
Zbl
0034.11101
article
People
BibTeX
@article {key0033001m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Homology of spaces with operators, {II}},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {65},
NUMBER = {1},
YEAR = {1949},
PAGES = {49--99},
DOI = {10.2307/1990515},
NOTE = {Part I was by Eilenberg alone, \textit{Trans.
Amer. Math. Soc.} \textbf{61} (1947),
pp. 378--417. MR:0033001. Zbl:0034.11101.},
ISSN = {0002-9947},
}
S. Eilenberg and S. MacLane :
“Cohomology theory of Abelian groups and homotopy theory, II ,”
Proc. Natl. Acad. Sci. U.S.A.
36 : 11
(November 1950 ),
pp. 657–663 .
MR
0039252
Zbl
0039.19002
article
People
BibTeX
@article {key0039252m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology theory of {A}belian groups
and homotopy theory, {II}},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {36},
NUMBER = {11},
MONTH = {November},
YEAR = {1950},
PAGES = {657--663},
DOI = {10.1073/pnas.36.11.657},
NOTE = {MR:0039252. Zbl:0039.19002.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Relations between homology and homotopy groups of spaces, II ,”
Ann. Math. (2)
51 : 3
(May 1950 ),
pp. 514–533 .
MR
0035435
Zbl
0036.12602
article
People
BibTeX
@article {key0035435m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Relations between homology and homotopy
groups of spaces, {II}},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {51},
NUMBER = {3},
MONTH = {May},
YEAR = {1950},
PAGES = {514--533},
DOI = {10.2307/1969365},
NOTE = {MR:0035435. Zbl:0036.12602.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Cohomology theory of Abelian groups and homotopy theory, I ,”
Proc. Nat. Acad. Sci. U.S.A.
36 : 8
(August 1950 ),
pp. 443–447 .
MR
0038072
Zbl
0037.39504
article
People
BibTeX
@article {key0038072m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology theory of {A}belian groups
and homotopy theory, {I}},
JOURNAL = {Proc. Nat. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {36},
NUMBER = {8},
MONTH = {August},
YEAR = {1950},
PAGES = {443--447},
DOI = {10.1073/pnas.36.8.443},
NOTE = {MR:0038072. Zbl:0037.39504.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Cohomology theory of Abelian groups and homotopy theory, III ,”
Proc. Natl. Acad. Sci. U.S.A.
37 : 5
(May 1951 ),
pp. 307–310 .
MR
0042706
Zbl
0042.41406
article
Abstract
People
BibTeX
For each abelian group \( \Pi \) and for each integer \( n \) we consider the complexes \( K(\Pi,n) \) described in [Eilenberg and Mac Lane 1950a] and the suspension maps
\[ S:K(\Pi,n)\to K(\Pi,n+1) \]
raising the dimensions by 1. We recall that \( K(\Pi,n) \) gives the singular homology and cohomology theory for any arcwise connected space \( X \) in which only the \( n \) th homotopy group \( \pi_n(X) = \Pi \) is non-trivial (\( n > 1 \) ). We show now that the augmented complex \( K(\Pi,n) \) is, after a change in dimension, chain equivalent to the complex \( A^{n-1}(\Pi) \) which gives the “abelian” homology theory of \( \Pi \) in level \( n-1 \) . This proves the main conjecture (26) of [Eilenberg and Mac Lane 1950b].
@article {key0042706m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology theory of {A}belian groups
and homotopy theory, {III}},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {37},
NUMBER = {5},
MONTH = {May},
YEAR = {1951},
PAGES = {307--310},
DOI = {10.1073/pnas.37.5.307},
NOTE = {MR:0042706. Zbl:0042.41406.},
ISSN = {0027-8424},
}
S. Eilenberg and S. MacLane :
“Homology theories for multiplicative systems ,”
Trans. Am. Math. Soc.
71 : 2
(1951 ),
pp. 294–330 .
MR
0043774
Zbl
0043.25403
article
People
BibTeX
@article {key0043774m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Homology theories for multiplicative
systems},
JOURNAL = {Trans. Am. Math. Soc.},
FJOURNAL = {Transactions of the American Mathematical
Society},
VOLUME = {71},
NUMBER = {2},
YEAR = {1951},
PAGES = {294--330},
DOI = {10.2307/1990693},
NOTE = {MR:0043774. Zbl:0043.25403.},
ISSN = {0002-9947},
}
S. Eilenberg and S. MacLane :
“Cohomology groups of Abelian groups and homotopy theory, IV ,”
Proc. Natl. Acad. Sci. U.S.A.
38 : 4
(April 1952 ),
pp. 325–329 .
Parts I–III were titled “Cohomology theory of…”.
MR
0048025
Zbl
0046.16701
article
Abstract
People
BibTeX
@article {key0048025m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Cohomology groups of {A}belian groups
and homotopy theory, {IV}},
JOURNAL = {Proc. Natl. Acad. Sci. U.S.A.},
FJOURNAL = {Proceedings of the National Academy
of Sciences of the United States of
America},
VOLUME = {38},
NUMBER = {4},
MONTH = {April},
YEAR = {1952},
PAGES = {325--329},
DOI = {10.1073/pnas.38.4.325},
NOTE = {Parts I--III were titled ``Cohomology
theory of\dots''. MR:0048025. Zbl:0046.16701.},
ISSN = {0027-8424},
}
S. Eilenberg and S. Mac Lane :
“On the groups of \( H(\Pi,n) \) , I ,”
Ann. Math. (2)
58 : 1
(July 1953 ),
pp. 55–106 .
MR
0056295
Zbl
0050.39304
article
People
BibTeX
@article {key0056295m,
AUTHOR = {Eilenberg, Samuel and Mac Lane, Saunders},
TITLE = {On the groups of \$H(\Pi,n)\$, {I}},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {58},
NUMBER = {1},
MONTH = {July},
YEAR = {1953},
PAGES = {55--106},
DOI = {10.2307/1969820},
NOTE = {MR:0056295. Zbl:0050.39304.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“Acyclic models ,”
Am. J. Math.
75 : 1
(January 1953 ),
pp. 189–199 .
MR
0052766
Zbl
0050.17205
article
People
BibTeX
@article {key0052766m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {Acyclic models},
JOURNAL = {Am. J. Math.},
FJOURNAL = {American Journal of Mathematics},
VOLUME = {75},
NUMBER = {1},
MONTH = {January},
YEAR = {1953},
PAGES = {189--199},
DOI = {10.2307/2372628},
NOTE = {MR:0052766. Zbl:0050.17205.},
ISSN = {0002-9327},
}
S. Eilenberg and S. MacLane :
“On the groups \( H(\Pi,n) \) , III: Operations and obstructions ,”
Ann. Math. (2)
60 : 3
(November 1954 ),
pp. 513–557 .
MR
0065163
Zbl
0057.15302
article
People
BibTeX
@article {key0065163m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {On the groups \$H(\Pi,n)\$, {III}: {O}perations
and obstructions},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {60},
NUMBER = {3},
MONTH = {November},
YEAR = {1954},
PAGES = {513--557},
DOI = {10.2307/1969849},
NOTE = {MR:0065163. Zbl:0057.15302.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“On the groups \( H(\Pi,n) \) , II: Methods of computation ,”
Ann. Math. (2)
60 : 1
(July 1954 ),
pp. 49–139 .
MR
0065162
Zbl
0055.41704
article
People
BibTeX
@article {key0065162m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {On the groups \$H(\Pi,n)\$, {II}: {M}ethods
of computation},
JOURNAL = {Ann. Math. (2)},
FJOURNAL = {Annals of Mathematics. Second Series},
VOLUME = {60},
NUMBER = {1},
MONTH = {July},
YEAR = {1954},
PAGES = {49--139},
DOI = {10.2307/1969702},
NOTE = {MR:0065162. Zbl:0055.41704.},
ISSN = {0003-486X},
}
S. Eilenberg and S. MacLane :
“On the homology theory of Abelian groups ,”
Can. J. Math.
7
(1955 ),
pp. 43–53 .
MR
0066375
Zbl
0064.02701
article
People
BibTeX
@article {key0066375m,
AUTHOR = {Eilenberg, Samuel and MacLane, Saunders},
TITLE = {On the homology theory of {A}belian
groups},
JOURNAL = {Can. J. Math.},
FJOURNAL = {Canadian Journal of Mathematics},
VOLUME = {7},
YEAR = {1955},
PAGES = {43--53},
DOI = {10.4153/CJM-1955-006-6},
NOTE = {MR:0066375. Zbl:0064.02701.},
ISSN = {0008-414X},
}
S. MacLane :
“Book review: Homological algebra ,”
Bull. Am. Math. Soc.
62 : 6
(1956 ),
pp. 615–624 .
Book by H. Cartan and S. Eilenberg (Princeton University Press, 1956).
MR
1565811
article
People
BibTeX
@article {key1565811m,
AUTHOR = {MacLane, Saunders},
TITLE = {Book review: {H}omological algebra},
JOURNAL = {Bull. Am. Math. Soc.},
FJOURNAL = {Bulletin of the American Mathematical
Society},
VOLUME = {62},
NUMBER = {6},
YEAR = {1956},
PAGES = {615--624},
DOI = {10.1090/S0002-9904-1956-10082-7},
NOTE = {Book by H. Cartan and S. Eilenberg (Princeton
University Press, 1956). MR:1565811.},
ISSN = {0002-9904},
}
Proceedings of the conference on categorical algebra
(La Jolla, CA, 1965 ).
Edited by S. Eilenberg, D. K. Harrison, S. Mac Lane, and H. Röhrl .
Springer (Berlin ),
1966 .
MR
0202786
Zbl
0178.29005
book
People
BibTeX
@book {key0202786m,
TITLE = {Proceedings of the conference on categorical
algebra},
EDITOR = {Eilenberg, S. and Harrison, D. K. and
Mac Lane, S. and R\"ohrl, H.},
PUBLISHER = {Springer},
ADDRESS = {Berlin},
YEAR = {1966},
PAGES = {viii+562},
NOTE = {(La Jolla, CA, 1965). MR:0202786. Zbl:0178.29005.},
}
S. Eilenberg and S. Mac Lane :
“Natural isomorphisms in group theory ,”
Gaz. Mat. (Lisboa)
29 : 109–112
(1968 ),
pp. 77–82 .
See also article in Proc. Nat. Acad. Sci. U.S.A. 28 :12 (1942) .
MR
0254150
Zbl
0271.18001
article
People
BibTeX
@article {key0254150m,
AUTHOR = {Eilenberg, Samuel and Mac Lane, Saunders},
TITLE = {Natural isomorphisms in group theory},
JOURNAL = {Gaz. Mat. (Lisboa)},
FJOURNAL = {Gazeta de Matem\'atica},
VOLUME = {29},
NUMBER = {109--112},
YEAR = {1968},
PAGES = {77--82},
NOTE = {See also article in \textit{Proc. Nat.
Acad. Sci. U.S.A.} \textbf{28}:12 (1942).
MR:0254150. Zbl:0271.18001.},
ISSN = {0373-2681},
}
S. Mac Lane :
“The work of Samuel Eilenberg in topology ,”
pp. 133–144
in
Algebra, topology, and category theory: A collection of papers in honor of Samuel Eilenberg .
Edited by A. Heller and M. Tierney .
Academic Press (New York ),
1976 .
MR
0414284
Zbl
0338.55001
incollection
People
BibTeX
@incollection {key0414284m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {The work of {S}amuel {E}ilenberg in
topology},
BOOKTITLE = {Algebra, topology, and category theory:
{A} collection of papers in honor of
{S}amuel {E}ilenberg},
EDITOR = {Heller, Alex and Tierney, Myles},
PUBLISHER = {Academic Press},
ADDRESS = {New York},
YEAR = {1976},
PAGES = {133--144},
NOTE = {MR:0414284. Zbl:0338.55001.},
ISBN = {9780123390509},
}
S. Mac Lane :
Selected papers .
Edited by I. Kaplansky .
Springer (New York ),
1979 .
With contributions by Alfred Putnam, Roger Lyndon, Kaplansky, Samuel Eilenberg and Max Kelly.
MR
544841
Zbl
0459.01024
book
People
BibTeX
@book {key544841m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {Selected papers},
PUBLISHER = {Springer},
ADDRESS = {New York},
YEAR = {1979},
PAGES = {xiii+556},
NOTE = {Edited by I. Kaplansky. With
contributions by Alfred Putnam, Roger
Lyndon, Kaplansky, Samuel Eilenberg
and Max Kelly. MR:544841. Zbl:0459.01024.},
ISBN = {9780387903941},
}
S. Mac Lane :
“Samuel Eilenberg and topology ,”
Wiadom. Mat.
25 : 2
(1984 ),
pp. 229–242 .
In Polish.
MR
786118
article
People
BibTeX
@article {key786118m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {Samuel {E}ilenberg and topology},
JOURNAL = {Wiadom. Mat.},
FJOURNAL = {Wiadomo\'sci Matematyczne},
VOLUME = {25},
NUMBER = {2},
YEAR = {1984},
PAGES = {229--242},
NOTE = {In Polish. MR:786118.},
ISSN = {0373-8302},
CODEN = {RPTWAD},
}
S. Eilenberg and S. Mac Lane :
Collected works .
Academic Press (Orlando, FL ),
1986 .
MR
856225
Zbl
0613.01018
book
People
BibTeX
@book {key856225m,
AUTHOR = {Eilenberg, Samuel and Mac Lane, Saunders},
TITLE = {Collected works},
PUBLISHER = {Academic Press},
ADDRESS = {Orlando, FL},
YEAR = {1986},
PAGES = {x+841},
NOTE = {MR:856225. Zbl:0613.01018.},
ISBN = {9780122340208},
}
S. Mac Lane :
“The development and prospects for category theory ,”
pp. 129–136
in
The European colloquium of category theory
(Tours, France, 25–31 July 1994 ),
published as Appl. Categ. Struct.
4 : 2–3 .
Issue edited by P. Damphousse and R. Guitart .
1996 .
MR
1406093
Zbl
0854.18002
incollection
Abstract
People
BibTeX
@article {key1406093m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {The development and prospects for category
theory},
JOURNAL = {Appl. Categ. Struct.},
FJOURNAL = {Applied Categorical Structures},
VOLUME = {4},
NUMBER = {2--3},
YEAR = {1996},
PAGES = {129--136},
DOI = {10.1007/BF00122247},
NOTE = {\textit{The {E}uropean colloquium of
category theory} (Tours, France, 25--31
July 1994). Issue edited by P. Damphousse
and R. Guitart. MR:1406093.
Zbl:0854.18002.},
ISSN = {0927-2852},
CODEN = {ACASE6},
}
S. Mac Lane :
“Samuel Eilenberg’s work in category theory ,”
pp. 137–138
in
The European colloquium of category theory
(Tours, France, 25–31 July 1994 ),
published as Appl. Categ. Struct.
4 : 2–3 .
Issue edited by P. Damphousse and R. Guitart .
1996 .
MR
1406094
Zbl
0853.18001
incollection
People
BibTeX
@article {key1406094m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {Samuel {E}ilenberg's work in category
theory},
JOURNAL = {Appl. Categ. Struct.},
FJOURNAL = {Applied Categorical Structures},
VOLUME = {4},
NUMBER = {2--3},
YEAR = {1996},
PAGES = {137--138},
DOI = {10.1007/BF00122248},
NOTE = {\textit{The {E}uropean colloquium of
category theory} (Tours, France, 25--31
July 1994). Issue edited by P. Damphousse
and R. Guitart. MR:1406094.
Zbl:0853.18001.},
ISSN = {0927-2852},
CODEN = {ACASE6},
}
H. Bass, H. Cartan, P. Freyd, A. Heller, and S. Mac Lane :
“Samuel Eilenberg (1913–1998) ,”
Notices Am. Math. Soc.
45 : 10
(1998 ),
pp. 1344–1352 .
MR
1646820
Zbl
0908.01023
article
People
BibTeX
@article {key1646820m,
AUTHOR = {Bass, Hyman and Cartan, Henri and Freyd,
Peter and Heller, Alex and Mac Lane,
Saunders},
TITLE = {Samuel {E}ilenberg (1913--1998)},
JOURNAL = {Notices Am. Math. Soc.},
FJOURNAL = {Notices of the American Mathematical
Society},
VOLUME = {45},
NUMBER = {10},
YEAR = {1998},
PAGES = {1344--1352},
URL = {http://www.ams.org/notices/199810/mem-eilenberg.pdf},
NOTE = {MR:1646820. Zbl:0908.01023.},
ISSN = {0002-9920},
CODEN = {AMNOAN},
}
H. Bass, H. Cartan, P. Freyd, A. Heller, and S. MacLane :
“Samuel Eilenberg: 1913–1998 ,”
Biographical Memoirs
79
(2000 ).
article
People
BibTeX
@article {key63114848,
AUTHOR = {Bass, Hyman and Cartan, Henri and Freyd,
Peter and Heller, Alex and MacLane,
Saunders},
TITLE = {Samuel {E}ilenberg: 1913--1998},
JOURNAL = {Biographical Memoirs},
VOLUME = {79},
YEAR = {2000},
URL = {http://www.nasonline.org/publications/biographical-memoirs/memoir-pdfs/eilenberg-samuel.pdf},
}
S. Mac Lane :
“Samuel Eilenberg and categories ,”
pp. 127–131
in
Category theory 1999
(Coimbra, Portugal, 13–17 July 1999 ),
published as J. Pure Appl. Algebra
168 : 2–3 .
Issue edited by J. Adamek, P. T. Johnstone, and M. Sobral .
2002 .
MR
1887153
Zbl
0992.18001
incollection
People
BibTeX
@article {key1887153m,
AUTHOR = {Mac Lane, Saunders},
TITLE = {Samuel {E}ilenberg and categories},
JOURNAL = {J. Pure Appl. Algebra},
FJOURNAL = {Journal of Pure and Applied Algebra},
VOLUME = {168},
NUMBER = {2--3},
YEAR = {2002},
PAGES = {127--131},
DOI = {10.1016/S0022-4049(01)00092-5},
NOTE = {\textit{Category theory 1999} (Coimbra,
Portugal, 13--17 July 1999). Issue edited
by J. Adamek, P. T. Johnstone,
and M. Sobral. MR:1887153. Zbl:0992.18001.},
ISSN = {0022-4049},
CODEN = {JPAAA2},
}