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A Concise Course in Algebraic Topology

By May, J. P.

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Book Id: WPLBN0003762164
Format Type: PDF eBook :
File Size:
Reproduction Date: 2015

Title: A Concise Course in Algebraic Topology  
Author: May, J. P.
Volume:
Language: English
Subject: Programming, Mathematics, Topology
Collections: Technical eBooks and Manuals Collection, Technical Books Center Collection
Historic
Publication Date:
1999
Publisher: University of Chicago Press

Citation

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May, J. P. (1999). A Concise Course in Algebraic Topology. Retrieved from http://self.gutenberg.org/


Description
Description: This book explains the following topics: The fundamental group and some of its applications, Categorical language and the van Kampen theorem, Covering spaces, Graphs, Compactly generated spaces, Cofibrations, Fibrations, Based cofiber and fiber sequences, Higher homotopy groups, CW complexes, The homotopy excision and suspension theorems, Axiomatic and cellular homology theorems, Hurewicz and uniqueness theorems, Singular homology theory, An introduction to K theory.

Table of Contents
TOC : The fundamental group and some of its applications - Categorical language and the van Kampen theorem - Covering spaces - Graphs - Compactly generated spaces - Cofibrations - Fibrations - Based cofiber and fiber sequences - Higher homotopy groups - CW complexes - The homotopy excision and suspension theorems - A little homological algebra - Axiomatic and cellular homology theory - Derivations of properties from the axioms - The Hurewicz and uniqueness theorems - Singular homology theory - Some more homological algebra - Axiomatic and cellular cohomology theory - Derivations of properties from the axioms - The Poincar´e duality theorem - The index of manifolds; manifolds with boundary - Homology, cohomology, and K(π, n)s - Characteristic classes of vector bundles - An introduction to K-theory - An introduction to cobordism.

 

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