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A Basic Course in Algebraic Topology (Graduate Texts in Mathematics)
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, ...more
Hardcover, 452 pages
Published May 29th 1991 by Springer
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Mar 28, 2011 Joecolelife rated it 5 of 5 stars
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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 sho ...more
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