LEADER 02980nam 22005175 450 001 996518463303316 005 20230526095632.0 010 $a981-16-6550-8 024 7 $a10.1007/978-981-16-6550-9 035 $a(CKB)5580000000524049 035 $a(DE-He213)978-981-16-6550-9 035 $a(EXLCZ)995580000000524049 100 $a20230315d2022 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Topology 3$b[electronic resource] $eAlgebraic Topology and Topology of Fiber Bundles /$fby Mahima Ranjan Adhikari 205 $a1st ed. 2022. 210 1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022. 215 $a1 online resource (XXV, 468 p. 99 illus., 5 illus. in color.) 311 $a981-16-6549-4 327 $a1. Prerequisite Concepts of Topology, Algebra and Category Theory -- 2. Homotopy Theory: Fundamental and Higher Homotopy Groups -- 3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences -- 4. Topology of Fiber Bundles -- 5. Homotopy Theory of Bundles -- 6. Some Applications of Algebraic Topology -- 7. Brief History on Algebraic Topology and Fiber Bundles. 330 $aThis third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way. 606 $aTopology 606 $aMathematical analysis 606 $aAlgebra 606 $aTopology 606 $aAnalysis 606 $aAlgebra 606 $aTopologia algebraica$2thub 608 $aLlibres electrònics$2thub 615 0$aTopology. 615 0$aMathematical analysis. 615 0$aAlgebra. 615 14$aTopology. 615 24$aAnalysis. 615 24$aAlgebra. 615 7$aTopologia algebraica 676 $a514 700 $aAdhikari$b Mahima Ranjan$4aut$4http://id.loc.gov/vocabulary/relators/aut$0957608 906 $aBOOK 912 $a996518463303316 996 $aBasic Topology 3$93091256 997 $aUNISA LEADER 01100nam a2200301 i 4500 001 991001562939707536 008 120125s2011 us b 001 0 eng c 010 $a2010031800 020 $a9780226748405 035 $ab14034244-39ule_inst 040 $aDip.to Filologia Class. e Scienze Filosofiche$bita 041 1 $aeng$hlat 082 00$a177.7 100 1 $aSeneca, Lucius Annaeus$07130 240 10$aDe beneficiis.$linglese$915903 245 10$aOn benefits /$cSeneca ; translated by Miriam Griffin and Brad Inwood 260 $aChicago :$bUniversity of Chicago Press,$c2011 300 $aXXVI, 222 p. ;$c23 cm 440 4$aThe complete works of Lucius Annaeus Seneca 504 $aBibliografia: p. 191-214. Indice 700 1 $aGriffin, Miriam 700 1 $aInwood, Brad 907 $a.b14034244$b09-03-22$c25-01-12 912 $a991001562939707536 945 $aLE007 870.1 Seneca GRI 02.01$g1$i2007000221976$lle007$op$pE33.65$q-$rl$s- $t0$u0$v0$w0$x0$y.i15371906$z25-01-12 996 $aDe beneficiis$915903 997 $aUNISALENTO 998 $ale007$b25-01-12$cm$da $e-$feng$gus $h0$i0