Universal Spaces and Mappings

S.D. Iliadis (Eds.)9780444515865, 0444515860

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 SpacesPreface. 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.brBibliography. Index of symbols. Subject index. AudienceDescription: Researchers in Topology, postgraduate students.

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Table of contents :
Content:
Preface
Pages vii-xiv

Introductory remarks
Pages 1-8

Chapter 1 Original Research Article
Pages 9-48

Chapter 2 Original Research Article
Pages 49-88

Chapter 3 Original Research Article
Pages 89-150

Chapter 4 Original Research Article
Pages 151-176

Chapter 5 Original Research Article
Pages 177-238

Chapter 6 Original Research Article
Pages 239-290

Chapter 7 Original Research Article
Pages 291-330

Chapter 8 Original Research Article
Pages 331-390

Chapter 9 Original Research Article
Pages 391-430

Chapter 10 Original Research Article
Pages 431-506

Bibliography
Pages 507-542

Special symbols
Pages 543-550

Index
Pages 551-559