General Topology

ISBN-10: 0486434796
ISBN-13: 9780486434797
Edition: 2004
Authors: Stephen Willard
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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  More...

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Book details

List price: $24.95
Copyright year: 2004
Publisher: Dover Publications, Incorporated
Publication date: 2/27/2004
Binding: Paperback
Pages: 384
Size: 6.13" wide x 9.25" long x 0.75" tall
Weight: 1.452

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.

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

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