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Universal spaces and mappings [electronic resource] / S.D. Iliadis.

By: Material type: TextTextSeries: North-Holland mathematics studies ; 198.Publication details: Amsterdam ; Boston : Elsevier, c2005.Description: 1 online resource (xvi, 559 p.)ISBN:
  • 9780444515865
  • 0444515860
  • 0080457304 (electronic bk.)
  • 9780080457307 (electronic bk.)
Subject(s): Genre/Form: Additional physical formats: Print version:: Universal spaces and mappings.DDC classification:
  • 511.326 22
LOC classification:
  • QA689 .I45 2005eb
Online resources:
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.
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.
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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, 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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