Foundations of Algebraic Topology
1st Edition
Published on 25. July 2016
346 pages
978-1-4008-7749-2 (ISBN)
Description
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.
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.
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Other editions
Additional editions
Samuel Eilenberg | Norman Steenrod
Foundations of Algebraic Topology
Book
04/2016
Princeton University Press
€141.10
Available immediately
Samuel Eilenberg | Norman Steenrod
Foundations of Algebraic Topology
Book
12/2015
Princeton University Press
€54.10
Article not available at the moment
Samuel Eilenberg | Norman Steenrod
Foundations of Algebraic Topology
Book
09/1952
Princeton University Press
€8.31
Article exhausted; check different version
Persons
Samuel Eilenberg & Norman Steenrod
Content
Frontmatter, pg. i
Preface, pg. vii
Contents, pg. xv
I. Axioms and general theorems, pg. 1
II. Simplicial complexes, pg. 54
III. Homology theory of simplicial complexes, pg. 76
IV. Categories and functors, pg. 108
V. Chain complexes, pg. 124
VI. Formal homology theory of simplicial complexes, pg. 162
VII. The singular homology theory, pg. 185
VIII. Systems of groups and their limits, pg. 212
IX. The Cech homology theory, pg. 233
X. Special features of the Cech theory, pg. 257
XI. Applications to Euclidean Spaces, pg. 298
Index, pg. 323
Preface, pg. vii
Contents, pg. xv
I. Axioms and general theorems, pg. 1
II. Simplicial complexes, pg. 54
III. Homology theory of simplicial complexes, pg. 76
IV. Categories and functors, pg. 108
V. Chain complexes, pg. 124
VI. Formal homology theory of simplicial complexes, pg. 162
VII. The singular homology theory, pg. 185
VIII. Systems of groups and their limits, pg. 212
IX. The Cech homology theory, pg. 233
X. Special features of the Cech theory, pg. 257
XI. Applications to Euclidean Spaces, pg. 298
Index, pg. 323
