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Basic Algebraic Topology and Its Applications

Basic Algebraic Topology and Its Applications

Hardcover

AlgebraGeneral Mathematics

ISBN10: 8132228413
ISBN13: 9788132228417
Publisher: Springer
Published: Sep 26 2016
Pages: 615
Weight: 2.37
Height: 1.38 Width: 6.14 Depth: 9.21
Language: English

Prerequisite Concepts and Notations.- Basic Homotopy.- The Fundamental Groups.-Covering Spaces.- Fibre Bundles, Vector Bundles and K-theory.- Geometry of Simplicial Complexes and Fundamental Groups.- Higher Homotopy Groups.- Products in Higher Homotopy Groups.- CW-complexes and Homotopy.- Eilenberg-MacLane Spaces.- Homology and Cohomology Theories.- Eilenberg-Steenrod Axioms for Homology and Cohomology Theories.- Consequences of the Eilenberg-Steenrod Axioms.- Some Applications of Homology Theory.- Spectral Homology and Cohomology Theories.- Obstruction Theory.- More Relations Between Homotopy and Homology Groups.- A Brief Historical Note.

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Adhikari, Mahima Ranjan

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General Mathematics