LEADER 02966nam 2200601 450 001 9910827188803321 005 20230308172212.0 010 $a0-691-65329-1 010 $a1-4008-7749-0 024 7 $a10.1515/9781400877492 035 $a(CKB)3710000000497573 035 $a(EBL)4070862 035 $a(DE-B1597)468389 035 $a(OCoLC)957504688 035 $a(OCoLC)973401861 035 $a(DE-B1597)9781400877492 035 $a(Au-PeEL)EBL4070862 035 $a(CaPaEBR)ebr11200090 035 $a(CaONFJC)MIL846570 035 $a(OCoLC)947725078 035 $a(MiAaPQ)EBC4070862 035 $a(EXLCZ)993710000000497573 100 $a20160418h19521952 uy 0 101 0 $aeng 135 $aurnnu---|u||u 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aFoundations of algebraic topology /$fSamuel Eilenberg, Norman Steenrod 210 1$aPrinceton, N.J. :$cPrinceton University Press,$d1952. 210 4$dİ1952 215 $a1 online resource (345 pages) 225 1 $aPrinceton Legacy Library 225 1 $aPrinceton Mathematical Series ;$v15 300 $aIncludes index. 311 0 $a0-691-62723-1 311 0 $a0-691-07965-X 327 $tFront matter --$tPreface --$tContents --$tI. Axioms and general theorems --$tII. Simplicial complexes --$tIII. Homology theory of simplicial complexes --$tIV. Categories and functors --$tV. Chain complexes --$tVI. Formal homology theory of simplicial complexes --$tVII. The singular homology theory --$tVIII. Systems of groups and their limits --$tIX. The ?ech homology theory --$tX. Special features of the ?ech theory --$tXI. Applications to Euclidean Spaces --$tIndex 330 $aThe need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in 1952.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905. 410 0$aPrinceton legacy library. 410 0$aPrinceton mathematical series ;$v15. 606 $aTopology 615 0$aTopology. 676 $a513.83 700 $aEilenberg$b Samuel$046469 702 $aSteenrod$b Norman Earl$f1910-1971, 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827188803321 996 $aFoundations of algebraic topology$9922673 997 $aUNINA