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Algebraic Topology : Homology and Cohomology by Andrew H. Wallace (Hardcover)

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About this product

Product Identifiers

PublisherBenjamin-Cummings Publishing Company

ISBN-100805394826

ISBN-139780805394825

eBay Product ID (ePID)4719407

Product Key Features

SubjectTopology

Number of PagesIX, 272 Pages

LanguageEnglish

Publication NameAlgebraic Topology : Homology and Cohomology

TypeTextbook

Subject AreaMathematics

AuthorAndrew H. Wallace

FormatHardcover

Additional Product Features

LCCN79-108005

Dewey Edition22

IllustratedYes

Dewey Decimal513/.83

SynopsisThis 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.

LC Classification NumberQA612.W33