Algebraic Topology: Homology and Cohomology (Dover Books on Mathematics)
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Book 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.
Format:Hardcover
Language:English
ISBN:0805394826
ISBN13:9780805394825
Release Date:January 1970
Publisher:New York, W. A. Benjamin
Length:272 Pages
Weight:0.51 lbs.
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