Introduction to Topology,9781575240084

Introduction to Topology

by
ISBN13: 9781575240084
ISBN10: 1575240084
Format: Hardcover
Pub. Date: 1997-06-01
Publisher(s): Krieger Pub Co
List Price: $70.61

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Table of Contents

1 Preliminary Topics
1(28)
1.1 Topology
1(2)
1.2 Sets
3(8)
1.3 Extended Set Operations
11(4)
1.4 Functions
15(6)
1.5 Images and Inverse Images of Sets
21(8)
2 Topological Spaces
29(20)
2.1 Open Subsets of the Real Numbers
29(3)
2.2 Topological Spaces
32(5)
2.3 Closed Sets and Closure
37(4)
2.4 Limit Points, Interior, Exterior, Boundary, and More on Closure
41(4)
2.5 Basic Open Sets
45(4)
3 Subspaces and Continuity
49(18)
3.1 Subspaces
49(3)
3.2 Continuity
52(5)
3.3 Homeomorphisms
57(4)
3.4 The Topology of R"
61(6)
4 Product Spaces
67(18)
4.1 Products of Two Topological Spaces
67(4)
4.2 Finite Products and Projections
71(4)
4.3* Infinite Products
75(6)
4.4 Continuity of Algebraic Operations on R
81(4)
5 Connectedness
85(16)
5.1 Connected Spaces
85(3)
5.2 Connected Subspaces and Continuous Images of Connected Spaces
88(6)
5.3 Finite Products of Connected Spaces
94(3)
5.4* Infinite Products of Connected Spaces
97(4)
6 Compactness
101(14)
6.1 Compact Spaces
101(6)
6.2 Properties of Compact Spaces
107(8)
7 Separation Properties
115(18)
7.1 T0-,T1-, and T2-Spaces
115(5)
7.2 Regular Spaces
120(4)
7.3 Normal Spaces
124(9)
8 Metric Spaces
133(18)
8.1 The Metric Topology
133(5)
8.2 Properties of Metric Spaces
138(5)
8.3 Sequences
143(3)
8.4 Complete Metric Spaces
146(5)
Bibliography 151(2)
Index 153

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