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Universal spaces and mappings
Title:
Universal spaces and mappings
Author:
Iliadis, S. D. (Stavros D.)
ISBN:
9780444515865
Personal Author:
Publication Information:
Amsterdam ; Boston : Elsevier, c2005.
Physical Description:
xvi, 559 p. ; 24 cm.
Series:
North-Holland mathematics studies ; 198
Series Title:
North-Holland mathematics studies ; 198
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.
Abstract:
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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