Fundamentals of algebraic topology [electronic resource] / Steven H. Weintraub.

Fundamentals of algebraic topology [electronic resource] / Steven H. Weintraub.

9781493918447 electronic book
1493918443 electronic book
9781493918430
1493918435

New York, NY : Springer, 2014.

English

1 online resource (x, 163 pages) : illustrations.

10.1007/978-1-4939-1844-7 doi

QA612

514/.2

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.

Includes bibliographical references and index.

Access limited to authorized users.

Online resource; title from PDF title page (SpringerLink, viewed November 24, 2014).

Graduate texts in mathematics ; 270.

Print version: 9781493918430

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