Universal Spaces and Mappings


  • S.D. Iliadis, University of Patras, Patras, Greece.

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.
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Researchers in Topology, postgraduate students.


Book information

  • Published: January 2005
  • Imprint: NORTH-HOLLAND
  • ISBN: 978-0-444-51586-5

Table of 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.