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An introduction to algebraic topology

Author: Andrew H Wallace
Publisher: Mineola, N.Y. : Dover Publications, 2007.
Series: Dover books on mathematics
Edition/Format:   eBook : Document : English : Dover editionView all editions and formats
Summary:
This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Wallace, Andrew H.
Introduction to algebraic topology.
Mineola, N.Y. : Dover Publications, 2007
(DLC) 2006051799
(OCoLC)74988525
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Andrew H Wallace
ISBN: 9780486152950 0486152952
OCLC Number: 707691540
Notes: Originally published: Homology theory on algebraic varieties. New York : Pergamon Press, 1958.
Includes index.
Reproduction Notes: Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
Description: 1 online resource (vii, 198 pages) : illustrations.
Details: Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Contents: Introduction --
Topological spaces --
Topological properties of spaces --
The fundamental group --
The homology groups --
Continuous mappings and the homology groups --
Barycentric subdivision and excision --
The homology sequence --
Simplicial complexes.
Series Title: Dover books on mathematics
Other Titles: Homology theory on algebraic varieties
Responsibility: Andrew H. Wallace, Professor Emeritus, University of Pennsylvania.

Abstract:

This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as homology groups and continuous mapping, barycentric subdivision and excision, the homology sequence, and simplicial complexes. Exercises form an integral part of the text; they include theorems that are as valuable as some of those whose proofs are given in full. Author Andrew H. Wallace, Professor Emeritus at the University of Pennsylvania, concludes the text with a guide to further reading.

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