Celebratio Mathematica

Saunders Mac Lane

Saunders Mac Lane, 1909–2005: Meeting a grand leader

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G. Birk­hoff and S. Mac Lane: A sur­vey of mod­ern al­gebra. Mac­mil­lan (New York), 1941. The fiftieth an­niversary of this book was com­mem­or­ated in an art­icle in Math. In­tell. 14:1 (1992). MR 0005093 Zbl 0061.​04802 book

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: “Gen­er­al the­ory of nat­ur­al equi­val­ences,” Trans. Am. Math. Soc. 58 : 2 (September 1945), pp. 231–​294. MR 0013131 Zbl 0061.​09204 article

S. MacLane: “Groups, cat­egor­ies and du­al­ity,” Proc. Natl. Acad. Sci. U.S.A. 34 : 6 (June 1948), pp. 263–​267. MR 0025464 Zbl 0031.​24702 article

S. MacLane: “Du­al­ity for groups,” Bull. Am. Math. Soc. 56 : 6 (1950), pp. 485–​516. MR 0049192 Zbl 0045.​29905 article

S. Mac Lane: Ho­mo­logy. Die Grundlehren der math­em­at­ischen Wis­senschaften 114. Aca­dem­ic Press (New York), 1963. In Ger­man. A Rus­si­an trans­la­tion was pub­lished in 1966. MR 0156879 Zbl 0133.​26502 book

S. Mac Lane: “Nat­ur­al as­so­ci­ativ­ity and com­mut­ativ­ity,” Rice Univ. Stud. 49 : 4 (1963), pp. 28–​46. MR 0170925 Zbl 0244.​18008 article

S. MacLane: “Cat­egor­ic­al al­gebra,” Bull. Am. Math. Soc. 71 : 1 (1965), pp. 40–​106. MR 0171826 Zbl 0161.​01601 article

S. Mac Lane: “Found­a­tions for cat­egor­ies and sets,” pp. 146–​164 in Cat­egory the­ory, ho­mo­logy the­ory and their ap­plic­a­tions (Bat­telle Me­mori­al In­sti­tute, Seattle, WA, 24 June–19 Ju­ly 1968), vol. II. Edi­ted by P. J. Hilton. Lec­ture Notes in Math­em­at­ics 92. Spring­er (Ber­lin), 1969. MR 0242919 Zbl 0218.​18003 incollection

S. Mac Lane: Cat­egor­ies for the work­ing math­em­atician. Gradu­ate Texts in Math­em­at­ics 5. Spring­er (New York), 1971. A Ger­man trans­la­tion was pub­lished as Kat­egori­en: Be­griffss­prache und math­em­at­ische The­or­ie (1972). MR 0354798 Zbl 0232.​18001 book

S. Mac Lane: “To­po­logy and lo­gic as a source of al­gebra,” Bull. Am. Math. Soc. 82 : 1 (January 1976), pp. 1–​40. Re­tir­ing Pres­id­en­tial ad­dress. MR 0414648 Zbl 0324.​55001 article

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: “A late re­turn to a thes­is in lo­gic,” pp. 63–​66 in S. Mac Lane: Se­lec­ted pa­pers. Edi­ted by I. Ka­plansky. Spring­er (New York), 1979. incollection

S. Mac Lane: Proof, truth and con­fu­sion, 1982. The 1982 Ry­er­son Lec­ture, Uni­versity of Chica­go (1982). misc

S. Mac Lane: Math­em­at­ics, form and func­tion. Spring­er (New York), 1986. MR 816347 Zbl 0675.​00001 book

S. Mac Lane: “Con­cepts and cat­egor­ies in per­spect­ive,” pp. 323–​365 in A cen­tury of math­em­at­ics in Amer­ica, part I. Edi­ted by P. Duren, R. A. As­key, and U. C. Merzbach. His­tory of Math­em­at­ics 1. Amer­ic­an Math­em­at­ic­al So­ci­ety (Provid­ence, RI), 1988. An ad­dendum to this art­icle was pub­lished in His­tory of Math­em­at­ics, part III (1989). MR 1003181 Zbl 0665.​01002 incollection

S. Mac Lane and G. Birk­hoff: Al­gebra, 3rd edition. Chelsea (New York), 1988. Re­pub­lic­a­tion of the {1967 ori­gin­al|MR:0214415}. MR 941522 Zbl 0641.​12001 book

S. Mac Lane and I. Mo­er­dijk: Sheaves in geo­metry and lo­gic: A first in­tro­duc­tion to topos the­ory, re­prin­ted edition. Uni­versitext. Spring­er (New York), 1994. MR 1300636 book

S. Mac Lane: “Cat­egor­ies in geo­metry, al­gebra and lo­gic,” Math. Ja­pon. 42 : 1 (1995), pp. 169–​178. MR 1344646 Zbl 0831.​18001 article

S. Mac Lane: “Math­em­at­ics at Göt­tin­gen un­der the Nazis,” No­tices Am. Math. Soc. 42 : 10 (1995), pp. 1134–​1138. MR 1350011 Zbl 1042.​01536 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

S. Mac Lane: Saun­ders Mac Lane: A math­em­at­ic­al auto­bi­o­graphy. A K Peters (Welles­ley, MA), 2005. With a pre­face by Dav­id Eis­en­bud. MR 2141000 Zbl 1089.​01010 book