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200 10$aBasic Topology 3 $eAlgebraic Topology and Topology of Fiber Bundles /$fby Mahima Ranjan Adhikari
205   $a1st ed. 2022.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2022.
215   $a1 online resource (XXV, 468 p. 99 illus., 5 illus. in color.)
311 08$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.
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