LEADER 02979nam 22005295 450 001 9910300101103321 005 20200703105335.0 010 $a981-10-8734-2 024 7 $a10.1007/978-981-10-8734-9 035 $a(CKB)4100000002892712 035 $a(DE-He213)978-981-10-8734-9 035 $a(MiAaPQ)EBC5579249 035 $a(MiAaPQ)EBC6315139 035 $a(Au-PeEL)EBL5579249 035 $a(OCoLC)1029076342 035 $a(Au-PeEL)EBL6315139 035 $a(OCoLC)1193118796 035 $a(PPN)225547716 035 $a(EXLCZ)994100000002892712 100 $a20180313d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAlgebraic Topology $eA Primer /$fby Satya Deo 205 $a2nd ed. 2018. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2018. 215 $a1 online resource (XII, 344 p. 104 illus.) 225 1 $aTexts and Readings in Mathematics,$x2366-8717 ;$v27 311 $a981-10-8735-0 327 $aChapter 1. Basic Topology: a review -- Chapter 2. The Fundamental Group -- Chapter 3. Simplicial Complexes -- Chapter 4. Simplicial Homology -- Chapter 5. Covering Projections -- Chapter 6. Singular Homology -- Chapter 7. Appendix. 330 $aThis book presents the first concepts of the topics in algebraic topology such as the general simplicial complexes, simplicial homology theory, fundamental groups, covering spaces and singular homology theory in greater detail. Originally published in 2003, this book has become one of the seminal books. Now, in the completely revised and enlarged edition, the book discusses the rapidly developing field of algebraic topology. Targeted to undergraduate and graduate students of mathematics, the prerequisite for this book is minimal knowledge of linear algebra, group theory and topological spaces. The book discusses about the relevant concepts and ideas in a very lucid manner, providing suitable motivations and illustrations. All relevant topics are covered, including the classical theorems like the Brouwer?s fixed point theorem, Lefschetz fixed point theorem, Borsuk-Ulam theorem, Brouwer?s separation theorem and the theorem on invariance of the domain. Most of the exercises are elementary, but sometimes challenging, for the reader to provoke their curiosity for problem-solving. 410 0$aTexts and Readings in Mathematics,$x2366-8717 ;$v27 606 $aAlgebraic topology 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 615 0$aAlgebraic topology. 615 14$aAlgebraic Topology. 676 $a514.2 700 $aDeo$b Satya$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767958 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910300101103321 996 $aAlgebraic Topology$91563863 997 $aUNINA