Universal spaces and mappings /
Collection : North-Holland mathematics studies ; . 198 Détails physiques : 1 online resource (xvi, 559 pages) ISBN :9780444515865; 0444515860; 0080457304 (electronic bk.); 9780080457307 (electronic bk.).
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Topology.
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Mappings (Mathematics)
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MATHEMATICS
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Transformations.
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Electronic books.
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Generalized spaces.
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Mappings (Mathematics)
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Topology.
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.
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.
Includes bibliographical references (p. 507-542) and index.
Description based on print version record.
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