Foundations of Algebraic Topology

Foundations of Algebraic Topology
Author: Samuel Eilenberg
Publisher: Princeton University Press
Total Pages: 345
Release: 2015-12-08
Genre: Mathematics
ISBN: 1400877490


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The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the first time an axiomatization of the complete transition from topology to algebra. Originally published in 1952. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.


Foundations of Algebraic Topology
Language: en
Pages: 345
Authors: Samuel Eilenberg
Categories: Mathematics
Type: BOOK - Published: 2015-12-08 - Publisher: Princeton University Press

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The need for an axiomatic treatment of homology and cohomology theory has long been felt by topologists. Professors Eilenberg and Steenrod present here for the
Fundamentals of Algebraic Topology
Language: en
Pages: 169
Authors: Steven H. Weintraub
Categories: Mathematics
Type: BOOK - Published: 2014-10-31 - Publisher: Springer

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This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenr
A Concise Course in Algebraic Topology
Language: en
Pages: 262
Authors: J. P. May
Categories: Mathematics
Type: BOOK - Published: 1999-09 - Publisher: University of Chicago Press

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Algebraic topology is a basic part of modern mathematics, and some knowledge of this area is indispensable for any advanced work relating to geometry, including
Foundations of Combinatorial Topology
Language: en
Pages: 112
Authors: L. S. Pontryagin
Categories: Mathematics
Type: BOOK - Published: 2015-05-20 - Publisher: Courier Corporation

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Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes exami
Homology Theory
Language: en
Pages: 258
Authors: James W. Vick
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular