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Essential Topology

ISBN-10: 1852337826
ISBN-13: 9781852337827
Edition: 2005
List price: $49.95 Buy it from $19.81
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Description: Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity  More...

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Book details

List price: $49.95
Copyright year: 2005
Publisher: Springer
Publication date: 2/11/2011
Binding: Paperback
Pages: 224
Size: 7.00" wide x 9.25" long x 0.50" tall
Weight: 1.034
Language: English

Taking a direct route, Essential Topology brings the most important aspects of modern topology within reach of a second-year undergraduate student. Based on courses given at the University of Wales Swansea, it begins with a discussion of continuity and, by way of many examples, leads to the celebrated "Hairy Ball theorem" and on to homotopy and homology: the cornerstones of contemporary algebraic topology. While containing all the key results of basic topology, Essential Topology never allows itself to get mired in details. Instead, the focus throughout is on providing interesting examples that clarify the ideas and motivate the student, reflecting the fact that these are often the key examples behind current research. With chapters on: * continuity and topological spaces * deconstructionist topology * the Euler number * homotopy groups including the fundamental group * simplicial and singular homology, and * fibre bundles Essential Topology contains enough material for two semester-long courses, and offers a one-stop-shop for undergraduate-level topology, leaving students motivated for postgraduate study in the field, and well-prepared for it.

Introduction
Continuous functions
Topological spaces
Topological properties
Deconstructionist topology
Homotopy
The Euler number
Homotopy groups
Simplicial homology
Singular homology
More deconstructionism

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