Description

Book Synopsis
Aims to give an exposition of generalized (co)homology theories that can be read by mathematicians who are not experts in algebraic topology. This work starts with basic notions of homotopy theory and then introduces the axioms of generalized (co)homology theory. It focuses on spectral sequences and their use in generalized cohomology theories.

Table of Contents
Preliminaries Generalized cohomology Characteristic classes of vector bundles $K$-theory Spectral sequence Complex cobordism and its applications Simplicial techniques Limits Spectrum Bibliography Index.

Generalized Cohomology

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date: 5/30/2006 12:00:00 AM
      ISBN13: 9780821835142, 978-0821835142
      ISBN10: 0821835149

      Description

      Book Synopsis
      Aims to give an exposition of generalized (co)homology theories that can be read by mathematicians who are not experts in algebraic topology. This work starts with basic notions of homotopy theory and then introduces the axioms of generalized (co)homology theory. It focuses on spectral sequences and their use in generalized cohomology theories.

      Table of Contents
      Preliminaries Generalized cohomology Characteristic classes of vector bundles $K$-theory Spectral sequence Complex cobordism and its applications Simplicial techniques Limits Spectrum Bibliography Index.

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