Description

Book Synopsis
Presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. This title introduces ideas and results that are related to manifolds, cell spaces, coverings and fibrations, and homotopy groups, intersection index.

Table of Contents
Topological spaces and operations with them Homotopy groups and homotopy equivalence Coverings Cell spaces ($CW$-complexes) Relative homotopy groups and the exact sequence of a pair Fiber bundles Smooth manifolds The degree of a map Homology: Basic definitions and examples main properties of singular homology groups and their computation Homology of cell spaces Morse theory Cohomology and Poincare duality Some applications of homology theory Multiplication in cohomology (and homology) Index of notations Subject index.

Introduction to Topology

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 3/30/2001 12:00:00 AM
      ISBN13: 9780821821626, 978-0821821626
      ISBN10: 0821821628

      Description

      Book Synopsis
      Presents the basic notions of differential and algebraic topology, which are indispensable for specialists and useful for research mathematicians and theoretical physicists. This title introduces ideas and results that are related to manifolds, cell spaces, coverings and fibrations, and homotopy groups, intersection index.

      Table of Contents
      Topological spaces and operations with them Homotopy groups and homotopy equivalence Coverings Cell spaces ($CW$-complexes) Relative homotopy groups and the exact sequence of a pair Fiber bundles Smooth manifolds The degree of a map Homology: Basic definitions and examples main properties of singular homology groups and their computation Homology of cell spaces Morse theory Cohomology and Poincare duality Some applications of homology theory Multiplication in cohomology (and homology) Index of notations Subject index.

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