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Universal Spaces and Mappings : Proceedings of the International conference on Functional analysis and its applications dedicated to the 110th anniversary of Stefan Banach, May 28-31, Lviv, Ukraine - S.D. Iliadis

Universal Spaces and Mappings

Proceedings of the International conference on Functional analysis and its applications dedicated to the 110th anniversary of Stefan Banach, May 28-31, Lviv, Ukraine

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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.

ISBN: 9780080457307
ISBN-10: 0080457304
Format: PDF
Language: English
Published: 19th January 2005