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A Basic Course in Algebraic Topology

William S. Massey
Publisher: 
Springer Verlag
Publication Date: 
1991
Number of Pages: 
428
Format: 
Hardcover
Series: 
Graduate Texts in Mathematics 127
Price: 
64.95
ISBN: 
0-387-97430-X
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

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 1: Two-Dimensional Manifolds. 2: The Fundamental Group. 3: Free Groups and Free Products of Groups. 4: Seifert and Van Kampen Theorem on the Fundamental Group of the Union of Two Spaces. Applications. 5: Covering Spaces. 6: Background and Motivation for Homology Theory. 7: Definitions and Basic Properties of Homology Theory. 8: Determination of the Homology Groups of Certain Spaces: Applications and Further Properties of Homology Theory. 9: Homology of CW-Complexes. 10: Homology with Arbitrary Coefficient Groups. 11: The Homology of Product Spaces. 12: Cohomology Theory. 13: Products in Homology and Cohomology. 14: Duality Theorems for the Homology of Manifolds. 15: Cup Products in Projective Spaces and Applications of Cup Products. Appendix A: A Proof of De Rham's Theorem. Appendix B: Permutation Groups or Tranformation Groups.

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