Screen LibraryCofinally complete metric spaces and related functions /
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| Main Authors: | |
|---|---|
| Group Author: | ; |
| Published: |
World Scientific Publishing Co. Pte. Ltd.,
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| Publisher Address: | Singapore : |
| Publication Dates: | [2023] |
| Literature type: | Book |
| Language: | English |
| Subjects: | |
| Carrier Form: | xvi, 134 pages : illustrations ; 24 cm |
| Bibliography: | Includes bibliographical references (pages 127-131) and index. |
| ISBN: |
9789811272653 9811272654 |
| Index Number: | QA611 |
| CLC: | O189.11 |
| Call Number: | O189.11/K964 |
| Contents: | 1.1 Variants of Complete Metric Spaces -- 1.2 Functions between Metric Spaces that Preserve Certain Sequences -- 1.3 Stronger Forms of Continuity on Metric Spaces -- 1.3.1 Lipschitz-type Functions -- 1.3.2 Strong Uniform Continuity -- Exercises -- 2. Cofinally Complete Metric Spaces -- 2.1 Cofinal Completeness vis-a -vis Uniform Paracompactness: Earlier Results -- 2.2 Cofinal Completeness vis-a -vis Local Compactness Functional -- 2.3 Cofinal Completeness vis-a -vis Functions between Metric Spaces -- Exercises -- 3. . Cofinal Completions -- 3.1 Local Total Boundedness Functional -- 3.2 Cofinal Completion vis-a -vis Cauchy-regular Functions -- 3.3 Cauchy-subregular Functions -- 3.4 Some More Characterizations -- Exercises -- 4. Cofinal Completeness vis-a -vis Hyperspaces -- 4.1 Some Hyperspace Topologies -- 4.2 Cofinal Completeness vis-a -vis Hyperspaces -- 4.3 Cofinal Completeness of the Space (AC(X),Hd) -- Exercises -- 5. Stronger Cofinal Completeness -- 5.1 UC Spaces -- 5.2 Cofinally Bourbaki-complete Metric Spaces -- Exercises -- List of Symbols -- Bibliography -- Index. |