Celebratio Mathematica

Saunders Mac Lane

Bibliography

Works connected to Samuel Eilenberg

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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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

S. Ei­len­berg and S. MacLane: “Acyc­lic mod­els,” Am. J. Math. 75 : 1 (January 1953), pp. 189–​199. MR 0052766 Zbl 0050.​17205 article

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

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

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

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

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

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

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

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

S. Mac Lane: “Samuel Ei­len­berg and to­po­logy,” Wia­dom. Mat. 25 : 2 (1984), pp. 229–​242. In Pol­ish. MR 786118 article

S. Ei­len­berg and S. Mac Lane: Col­lec­ted works. Aca­dem­ic Press (Or­lando, FL), 1986. MR 856225 Zbl 0613.​01018 book

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

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

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

H. Bass, H. Cartan, P. Freyd, A. Heller, and S. MacLane: “Samuel Ei­len­berg: 1913–1998,” Bio­graph­ic­al Mem­oirs 79 (2000). article

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