Foundations of Algebraic Topology

✍ Scribed by Samuel Eilenberg; Norman Steenrod

• Publisher: Princeton University Press
• Year: 2015
• Tongue: English
• Leaves: 344
• Series: Princeton Legacy Library; 2193
• Category: Library

✦ Synopsis

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.

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✦ Table of Contents

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 Cech homology theory
X. Special features of the
Čech theory
XI. Applications to euclidean spaces
Index