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Homology theory: An introduction to algebraic topology

✍ Scribed by James W. Vick

Book ID
127418733
Publisher
Springer
Year
1994
Tongue
English
Weight
2 MB
Series
Graduate Texts in Mathematics
Edition
2nd
Category
Library
ISBN
0387941266

No coin nor oath required. For personal study only.

✦ Synopsis

This book is designed to be an introduction to some of the basic ideas in the field of algebraic topology. In particular, it is devoted to the foundations and applications of homology theory. The only prerequisite for the student is a basic knowledge of abelian groups and point set topology. The essentials of singular homology are given in the first chapter, along with some of the most important applications. In this way the student can quickly see the importance of the material. The successive topics include attaching spaces, finite CW complexes, the Eilenberg-Steenrod axioms, cohomology products, manifolds, Poincaré duality, and fixed point theory. Throughout the book the approach is as illustrative as possible, with numerous examples and diagrams. Extremes of generality are sacrificed when they are likely to obscure the essential concepts involved. The book is intended to be easily read by students as a textbook for a course or as a source for individual study. The second edition has been substantially revised. It includes a new chapter on covering spaces in addition to illuminating new exercises.

✦ Subjects

Теория гомологий

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