LEADER 03435nam 22006495 450 001 9910961070703321 005 20251118134430.0 010 $a1-4612-0881-5 024 7 $a10.1007/978-1-4612-0881-5 035 $a(CKB)3400000000089304 035 $a(SSID)ssj0001297060 035 $a(PQKBManifestationID)11743121 035 $a(PQKBTitleCode)TC0001297060 035 $a(PQKBWorkID)11354501 035 $a(PQKB)10018644 035 $a(DE-He213)978-1-4612-0881-5 035 $a(MiAaPQ)EBC3073512 035 $a(PPN)238026477 035 $a(EXLCZ)993400000000089304 100 $a20121227d1994 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aHomology Theory $eAn Introduction to Algebraic Topology /$fby James W. Vick 205 $a2nd ed. 1994. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1994. 215 $a1 online resource (XIV, 245 p.) 225 1 $aGraduate Texts in Mathematics,$x2197-5612 ;$v145 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a0-387-94126-6 311 08$a1-4612-6933-4 320 $aIncludes bibliographical references and index. 327 $a1 Singular Homology Theory -- 2 Attaching Spaces with Maps -- 3 The Eilenberg-Steenrod Axioms -- 4 Covering Spaces -- 5 Products -- 6 Manifolds and Poincaré Duality -- 7 Fixed-Point Theory -- Appendix I -- Appendix II -- References -- Books and Historical Articles Since 1973 -- Books and Notes -- Survey and Expository Articles. 330 $aThe 20 years since the publication of this book have been an era of continuing growth and development in the field of algebraic topology. New generations of young mathematicians have been trained, and classical problems have been solved, particularly through the application of geometry and knot theory. Diverse new resources for introductory coursework have appeared, but there is persistent interest in an intuitive treatment of the basic ideas. This second edition has been expanded through the addition of a chapter on covering spaces. By analysis of the lifting problem it introduces the funda­ mental group and explores its properties, including Van Kampen's Theorem and the relationship with the first homology group. It has been inserted after the third chapter since it uses some definitions and results included prior to that point. However, much of the material is directly accessible from the same background as Chapter 1, so there would be some flexibility in how these topics are integrated into a course. The Bibliography has been supplemented by the addition of selected books and historical articles that have appeared since 1973. 410 0$aGraduate Texts in Mathematics,$x2197-5612 ;$v145 606 $aAlgebraic topology 606 $aTopology 606 $aAlgebraic Topology 606 $aTopology 606 $aTopologia algebraica$2thub 608 $aLlibres electrònics$2thub 615 0$aAlgebraic topology. 615 0$aTopology. 615 14$aAlgebraic Topology. 615 24$aTopology. 615 7$aTopologia algebraica 676 $a514.2 700 $aVick$b James W.$4aut$4http://id.loc.gov/vocabulary/relators/aut$059307 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910961070703321 996 $aHomology theory$979427 997 $aUNINA