Introduction to Metric and Topological Spaces

Name: Introduction to Metric and Topological Spaces
Price: 27.49 USD
Availability: InStock
ISBN: 9780199563081

ISBN-10: 019956308X

ISBN-13: 9780199563081

Edition: 2nd 2009

Authors: Wilson A. Sutherland

List price: $49.99

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One of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherland's classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces, using metric spaces as a bridge between the two. The language of metric andtopological spaces is established with continuity as the motivating concept. Several concepts are introduced, first in metric spaces and then repeated for topological spaces, to help convey familiarity. The discussion…

Book details

List price: $49.99
Edition: 2nd
Copyright year: 2009
Publisher: Oxford University Press, Incorporated
Publication date: 10/4/2009
Binding: Paperback
Pages: 224
Size: 5.94" wide x 9.13" long x 0.49" tall
Weight: 1.034



Preface



Introduction



Notation and terminology



More on sets and functions



Review of some real analysis



Metric spaces



More concepts in metric spaces



Topological spaces



Continuity in topological spaces bases



Some concepts in topological spaces



Subspaces and product spaces



The Hausdorff condition



Connected spaces



Compact spaces



Sequential compactness



Quotient spaces and surfaces



Uniform convergence



Complete metric spaces


References


Index