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A basic course in algebraic topology (v. 127) [Hardcover]

by W.S. Massey
5.0 out of 5 stars  See all reviews (2 customer reviews)

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Book Description

April 29, 1980 038797430X 978-0387974309 Corrected
This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unecessary definitions, terminology, and technical machinery. Wherever possible, the geometric motivation behind the various concepts is emphasized. The text consists of material from the first five chapters of the author's earlier book, ALGEBRAIC TOPOLOGY: AN INTRODUCTION (GTM 56), together with almost all of the now out-of- print SINGULAR HOMOLOGY THEORY (GTM 70). The material from the earlier books has been carefully revised, corrected, and brought up to date.

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Editorial Reviews


W.S. Massey

A Basic Course in Algebraic Topology

"In the minds of many people algebraic topology is a subject which is a ~esoteric, specialized, and disjoint from the overall sweep of mathematical thought.a (TM) This straightforward introduction to the subject, by a recognized authority, aims to dispel that point of view by emphasizing: 1. the geometric motivation for the various concepts and 2. the applications to other areas."a "BULLETIN OF THE IRISH MATHEMATICS SOCIETY

Product Details

  • Hardcover: 428 pages
  • Publisher: Springer; Corrected edition (April 29, 1980)
  • Language: English
  • ISBN-10: 038797430X
  • ISBN-13: 978-0387974309
  • Product Dimensions: 9.5 x 6.3 x 1 inches
  • Shipping Weight: 1.8 pounds
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (2 customer reviews)
  • Amazon Best Sellers Rank: #1,172,404 in Books (See Top 100 in Books)

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36 of 36 people found the following review helpful
5.0 out of 5 stars Excellent text on algebraic topology March 26, 2000
By A Customer
The text contains material from the author's earlier two books; Algebraic Topology: An Introduction (GTM 56), and Singular Homology Theory (GTM 70). The book starts with an introductory chapter on 2-manifolds and then continues with the fundamental group; which is conceptually easier than homology, with which some books on algebraic topology start. The only prerequisite for this book is a basic knowledge of general topology; and the book is easily accessible to anyone studying on his own. In short, I recommend the book to anyone interested in algebraic topology.
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4 of 6 people found the following review helpful
5.0 out of 5 stars Good for newbies September 27, 2010
By Diego
Format:Hardcover|Verified Purchase
Very nice way to start learning Alg topology. I am reading it for a class and it's been quite pleasant.
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