Andrew H. Wallace

An Introduction to Algebraic Topology (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 208
• Erscheinungstermin: 30. November 2011
• Englisch
• ISBN-13: 9780486152950
• Artikelnr.: 40289664

Autorenporträt

Andrew H.Wallace is Professor Emeritus at the University of Pennsylvania.

Inhaltsangabe

Prerequisites I. Introduction II. Topological Spaces III. Topological
Properties of Spaces IV. The Fundamental Group V. The Homology Groups VI.
Continuous Mappings and the Homology Groups VII. Barycentric Subdivision
and Excision VIII. The Homology Sequence IX. Simplicial Complexes Guide to
Further Reading Index