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Topological Spaces : From Distance to Neighborhood

Overview of attention for book
Cover of 'Topological Spaces : From Distance to Neighborhood'

Table of Contents

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    Book Overview
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    Chapter 1 What Topology Is About
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    Chapter 2 Axioms for ℝ
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    Chapter 3 Convergent Sequences and Continuity
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    Chapter 4 Curves in the Plane
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    Chapter 5 Metrics
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    Chapter 6 Open and Closed Sets
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    Chapter 7 Completeness
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    Chapter 8 Uniform Convergence
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    Chapter 9 Sequential Compactness
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    Chapter 10 Convergent Nets
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    Chapter 11 Transition to Topology
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    Chapter 12 Topological Spaces
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    Chapter 13 Compactness and the Hausdorff Property
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    Chapter 14 Products and Quotients
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    Chapter 15 The Hahn-Tietze-Tong-Urysohn Theorems
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    Chapter 16 Connectedness
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    Chapter 17 Tychonoff’s Theorem
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    Chapter 18 A Smorgasbord for Further Study
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    Chapter 19 Countable Sets
Attention for Chapter 5: Metrics
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