Universal Spaces and Mappings ( Volume 198 )

Publication series ：Volume 198

Author： Iliadis   S. D.  

Publisher： Elsevier Science‎

Publication year： 2005

E-ISBN: 9780080457307

P-ISBN(Paperback): 9780444515865

P-ISBN(Hardback):  9780444515865

Subject： O189 topology (geometry of situation)

Language： ENG

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Description

Universal Spaces and Mappings 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

Chapter

Cover

pp.：  1 – 7

Preface

pp.：  7 – 15

Contents

pp.：  15 – 17

Introductory Remarks

pp.：  17 – 25

The Construction of Containing Spaces

pp.：  25 – 65

Saturated Classes

pp.：  65 – 105

Dimension-Like Functions

pp.：  105 – 167

Saturated Classes of Spaces with Structure

pp.：  167 – 193

Completely Regular and Compact Spaces

pp.：  193 – 255

Mappings and Universality

pp.：  255 – 307

Actions of Groups

pp.：  307 – 347

Containing Spaces and Factorizing Tau-Spectra

pp.：  347 – 407

Isometries and Universality

pp.：  407 – 447

Concluding Remarks and Open Problems

pp.：  447 – 523

Bibliography

pp.：  523 – 559

Special Symbols

pp.：  559 – 567

Index

pp.：  567 – 577

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