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A Basic Course in Algebraic Topology (Graduate Texts in Mathematics)
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A Basic Course in Algebraic Topology (Graduate Texts in Mathematics)

4.27 of 5 stars 4.27  ·  rating details  ·  15 ratings  ·  1 review
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
Recommended to Joecolelife by: Online Bookstore
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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Other Books in the Series

Graduate Texts in Mathematics (1 - 10 of 54 books)
  • Categories for the Working Mathematician
  • Introduction to Lie Algebras and Representation Theory (Graduate Texts in Mathematics, #9)
  • Functions of One Complex Variable (Graduate Texts in Mathematics - Vol 11) (v. 1)
  • Advanced Mathematical Analysis: Periodic Functions and Distributions, Complex Analysis, Laplace Transform and Applications
  • General Topology
  • An Invitation to C*-Algebras (Graduate Texts in Mathematics 39) (v. 39)
  • A Course In Mathematical Logic
  • p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics) (v. 58)
  • Singular Homology Theory
  • Algebra (Graduate Texts in Mathematics) (v. 73)
Algebraic Topology: An Introduction Introducción A La Topología Algebraica Singular Homology Theory Homology And Cohomology Theory: An Approach Based On Alexander Spanier Cochains

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