02966nam 2200601 450 991082718880332120230308172212.00-691-65329-11-4008-7749-010.1515/9781400877492(CKB)3710000000497573(EBL)4070862(DE-B1597)468389(OCoLC)957504688(OCoLC)973401861(DE-B1597)9781400877492(Au-PeEL)EBL4070862(CaPaEBR)ebr11200090(CaONFJC)MIL846570(OCoLC)947725078(MiAaPQ)EBC4070862(EXLCZ)99371000000049757320160418h19521952 uy 0engurnnu---|u||urdacontentrdamediardacarrierFoundations of algebraic topology /Samuel Eilenberg, Norman SteenrodPrinceton, N.J. :Princeton University Press,1952.©19521 online resource (345 pages)Princeton Legacy LibraryPrinceton Mathematical Series ;15Includes index.0-691-62723-1 0-691-07965-X Front matter --Preface --Contents --I. Axioms and general theorems --II. Simplicial complexes --III. Homology theory of simplicial complexes --IV. Categories and functors --V. Chain complexes --VI. Formal homology theory of simplicial complexes --VII. The singular homology theory --VIII. Systems of groups and their limits --IX. The Čech homology theory --X. Special features of the Čech theory --XI. Applications to Euclidean Spaces --IndexThe need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in 1952.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.Princeton legacy library.Princeton mathematical series ;15.TopologyTopology.513.83Eilenberg Samuel46469Steenrod Norman Earl1910-1971,MiAaPQMiAaPQMiAaPQBOOK9910827188803321Foundations of algebraic topology922673UNINA