Homology Theory: An Introduction to Algebraic Topology Hardcover - 1994 - 2nd Edition
by James W. Vick
From the rear cover
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, Poincare 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. This second edition has been expanded to include a new chapter on covering spaces, as well as additional illuminating exercises. The conceptual approach is again used to show how lifting problems give rise to the fundamental group and its properties.
Details
- Title Homology Theory: An Introduction to Algebraic Topology
- Author James W. Vick
- Binding Hardcover
- Edition number 2nd
- Edition 2
- Pages 245
- Volumes 1
- Language ENG
- Publisher Springer, New York, NY
- Date 1994-01-07
- Illustrated Yes
- Features Bibliography, Illustrated, Maps
- ISBN 9780387941264 / 0387941266
- Weight 1.05 lbs (0.48 kg)
- Dimensions 9.44 x 6.3 x 0.68 in (23.98 x 16.00 x 1.73 cm)
- Library of Congress subjects Homology theory
- Library of Congress Catalog Number 93005255
- Dewey Decimal Code 514.23
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Homology Theory: An Introduction to Algebraic Topology: v. 145 (Graduate Texts in Mathematics)
by James W. Vick
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Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics, 145)
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Homology Theory: An Introduction to Algebraic Topology (Graduate Texts in Mathematics (145)) (v. 145)
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