Fundamentals of Algebraic Topology (Graduate Texts in Mathematics) 2014 by Steven Weintraub [Dr.Soc]

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Fundamentals of Algebraic Topology (Graduate Texts in Mathematics) 2014 by Steven Weintraub [Dr.Soc] (Size: 1.86 MB)
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Fundamentals of Algebraic Topology (Graduate Texts in Mathematics)

Author: Steven Weintraub
Hardcover: 163 pages
Publisher: Springer; 2014 edition (November 1, 2014)
Language: English
ISBN-10: 1493918435
ISBN-13: 978-1493918430
Format: PDF


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Summary:

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.
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Fundamentals of Algebraic Topology (Graduate Texts in Mathematics) 2014 by Steven Weintraub [Dr.Soc]