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The book is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, actio...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
Elsevier,
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| Publisher Address: | Amsterdam ; Boston : |
| Publication Dates: | 2005. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematics studies ;
198 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/198 |
| Summary: |
The book is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory can be applied to different topics of Topology such as: universal mappings, dimension theory, action of groups, inverse spectra, isometrical embeddings, and so on. Universal spaces Universal mappings Dimension theory Actions of groups Isometric Universal Spaces. |
| Carrier Form: | 1 online resource (xvi, 559 pages). |
| Bibliography: | Includes bibliographical references (pages 507-542) and index. |
| ISBN: |
9780444515865 0444515860 0080457304 9780080457307 |
| Index Number: | QA689 |
| CLC: | O186.14 |
| Contents: | Preface. -- Introductory remarks. -- Chapter 1. The construction of Containing Spaces. -- Chapter 2. Saturated classes. -- Chapter 3. Dimension-like functions. -- Chapter 4. Saturated classes of spaces with structure. -- Chapter 5. Completely regular and compact spaces. -- Chapter 6. Saturated classes of mappings. -- Chapter 7. Actions of groups. -- Chapter 8. Containing Spaces and factorizing T-spectra. -- Chapter 9. Isometries and universality. -- Chapter 10. Concluding remarks and open problems. -- Bibliography. -- Index of symbols. -- Subject index. |