Screen LibraryBasic algebraic topology and its applications /
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| Main Authors: | |
|---|---|
| Published: |
Springer,
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| Publisher Address: | India : |
| Publication Dates: | [2016] |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Carrier Form: | xxix, 615 pages : illustrations, forms ; 24 cm |
| Bibliography: | Includes bibliographical references and indexes. |
| ISBN: |
9788132228417 (hardback) : 8132228413 (hardback) |
| Index Number: | QA612 |
| CLC: | O189.2 |
| Call Number: | O189.2/A234 |
| Contents: | Prerequisite Concepts and Notations -- Homotopy Theory: Elementary Basic Concepts -- The Fundamental Groups -- Covering Spaces -- Fibre Bundles, Vector Bundles and K-theory -- Geometry of Simplicial Complexes and Fundamental Groups -- Higher Homotopy Groups -- CW-complexes and Homotopy -- Products in Homotopy Groups -- Homology and Cohomology Theories -- Eilenberg-MacLane Spaces -- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories -- Consequences of the Eilenberg-Steenrod Axioms -- Applications -- Spectral Homology and Cohomology Theories -- Obstruction Theory -- More Relations Between Homology and Homotopy -- A Brief History of Algebraic Topology. |