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Fundamentals of Algebraic Topology (Reprint) (Paperback) (Steven Weintraub)

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This rapid and concise presentation of the essential ideas and results of algebraic topology follows the axiomatic foundations pioneered by Eilenberg and Steenrod. The approach of the book is pragmatic: while most proofs are given, those that are particularly long or technical are omitted, and results are stated in a form that emphasizes practical use over maximal generality. Moreover, to better reveal the logical structure of the subject, the separate roles of algebra and topology are illuminated.

Assuming a background in point-set topology, Fundamentals of Algebraic Topology covers the canon of a first-year graduate course in algebraic topology: the fundamental group and covering spaces, homology and cohomology, CW complexes and manifolds, and a short introduction to homotopy theory. Readers wishing to deepen their knowledge of algebraic topology beyond the fundamentals are guided by a short but carefully annotated bibliography.

Edition: Reprint
Genre: Mathematics
Series Title: Graduate Texts in Mathematics
Format: Paperback
Publisher: Springer Verlag
Author: Steven Weintraub
Language: English
Street Date: September 30, 2016
TCIN: 51744902
UPC: 9781493948857
Item Number (DPCI): 248-31-1913

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