Topologies and uniformities
著者
書誌事項
Topologies and uniformities
（Springer undergraduate mathematics series）
Springer, 1999
- :pbk.
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
A substantially revised edition of the UTM volume, with a view to making the book far more accessible to undergraduates. It contains a larger number of detailed explanations and exercises, together with fully worked solutions to the essential problems and a new chapter on the historical aspects.
目次
1 Topological Spaces.- 2 Continuity.- 3 The Induced Topology and Its Dual.- 4 Open Functions and Closed Functions.- 5 Compact Spaces.- 6 Separation Conditions.- 7 Uniform Spaces.- 8 The Uniform Topology.- 9 Connectedness.- 10 Countability and Related Topics.- 11 Functional Separation Conditions.- 12 Completeness and Completion.- Select Bibliography.- Solutions to Exercises.
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