Foundations of algebraic topology / by Samuel Eilenberg and Norman Steenrod.

Format:

Book

Author/Creator:

Eilenberg, Samuel, author.

Steenrod, Norman Earl, 1910-1971, author.

Series:

Princeton legacy library.

Princeton mathematical series ; 15.

Princeton Legacy Library

Princeton Mathematical Series ; 15

Language:

English

Subjects (All):

Topology.

Physical Description:

1 online resource (345 pages)

Edition:

1st ed.

Place of Publication:

Princeton, New Jersey : Princeton University Press, 1952.

Language Note:

In English.

Summary:

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.

Contents:

Front matter

Preface

Contents

I. Axioms and general theorems

II. Simplicial complexes

III. Homology theory of simplicial complexes

IV. Categories and functors

V. Chain complexes

VI. Formal homology theory of simplicial complexes

VII. The singular homology theory

VIII. Systems of groups and their limits

IX. The Čech homology theory

X. Special features of the Čech theory

XI. Applications to Euclidean Spaces

Index

Notes:

Description based on print version record.

Includes index.

ISBN:

0-691-65329-1

1-4008-7749-0

OCLC:

957504688