Algebraic Topology: Homology and Cohomology
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Algebraic Topology: Homology and Cohomology

by Andrew H. Wallace
     
 

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This self-contained text is suitable for advanced undergraduate and graduate students and may be used either after or concurrently with courses in general topology and algebra. It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
Proceeding from the view of topology as a form

Overview


This self-contained text is suitable for advanced undergraduate and graduate students and may be used either after or concurrently with courses in general topology and algebra. It surveys several algebraic invariants: the fundamental group, singular and Cech homology groups, and a variety of cohomology groups.
Proceeding from the view of topology as a form of geometry, Wallace emphasizes geometrical motivations and interpretations. Once beyond the singular homology groups, however, the author advances an understanding of the subject's algebraic patterns, leaving geometry aside in order to study these patterns as pure algebra. Numerous exercises appear throughout the text. In addition to developing students' thinking in terms of algebraic topology, the exercises also unify the text, since many of them feature results that appear in later expositions. Extensive appendixes offer helpful reviews of background material.

Product Details

ISBN-13:
9780486462394
Publisher:
Dover Publications
Publication date:
10/19/2007
Series:
Dover Books on Mathematics Series
Pages:
288
Sales rank:
941,724
Product dimensions:
5.20(w) x 8.40(h) x 0.60(d)

Related Subjects

Meet the Author

Andrew H. Wallace is Professor Emeritus of Mathematics at the University of Pennsylvania and the author of two other Dover books.

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