Fairchild W., Tulcea C. Topology 1971

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Topological Spaces
Neighborhoods
Interior of a Set & Adherence of a Set
Subspaces
Continuous Functions
Initial Topologies
Product Spaces
Further Results Concerning Continuous Functions
Compact Spaces
Locally Compact Spaces
Connected Spaces
Final Topologies. Quotient Spaces
Metrics. Metric Spaces
Sequences
Complete Metric Spaces
Compact Metrizable Spaces
Uniformly Continuous Functions
Normed Spaces
The Stone-Weierstrass Theorem
Normal Spaces
Partitions of Unity
Baire Spaces
Filters. Limits. Nets
Uniform Structures. Uniform Spaces
Semi-Metrics and Uniform Spaces
Complete Uniform Spaces
Uniformly Continuous Functions
Isomorphisms. Completion of Uniform Spaces
Uniformizable Spaces. Completely Regular Spaces
Bibliography
Index of Notations
Index