General Topology

Name: General Topology
Price: 8.05 USD
Availability: InStock
ISBN: 9780486434797

ISBN-10: 0486434796

ISBN-13: 9780486434797

Edition: 2004

Authors: Stephen Willard

List price: $24.95

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Description:

Among the best available reference introductions to general topology, this volume encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered by 9 sections on connectivity properties, topological characterization theorems, and homotopy theory. Includes 340 exercises. 1970 edition. 27 figures.

Book details

List price: $24.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 2/27/2004
Binding: Paperback
Pages: 384
Size: 6.06" wide x 9.21" long x 0.75" tall
Weight: 1.034
Language: English




Set Theory and Metric Spaces



Set theory



Metric spaces



Topological Spaces



Fundamental concepts



Neighborhoods



Bases and subbases



New Spaces from Old



Subspaces



Continuous functions



Product spaces; weak topologies



Quotient spaces



Convergence



Inadequacy of sequences



Nets



Filters



Separation and Countability



The separation axioms



Regularity and complete regularity



Normal spaces



Countability properties



Compactness



Compact spaces



Locally compact spaces



Compactification



Paracompactness



Products of normal spaces



Metrizable Spaces



Metric spaces and metrizable spaces



Metrization



Complete metric spaces



The Baire theorem



Connectedness



Connected spaces



Pathwise and local connectedness



Continua



Totally disconnected spaces



The Cantor set



Peano spaces



The homotopy relation



The fundamental group



II[subscript 1](S[superscript 1])



Uniform Spaces



Diagonal uniformities



Uniform covers



Uniform products and subspaces; weak uniformities



Uniformizability and uniform metrizability



Complete uniform spaces; completion



Proximity spaces



Compactness and proximities



Function Spaces



Pointwise convergence; uniform convergence



The compact-open topology and uniform convergence on compacta



The Stone-Weierstrass theorem


Historical Notes


Bibliography


Index