Universal Spaces and Mappings: Volume 198

ISBN-13: 9780444515865 / Angielski / Twarda / 2005 / 576 str.

S. D. Iliadis

Opis

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

Spis treści

1. The construction of Containing Spaces2. Saturated classes3. Dimension-like functions4. Saturated classes of spaces with structure5. Completely regular and compact spaces6. Saturated classes of mappings7. Actions of groups8. Containing Spaces and factorizing T-spectra9. Isometries and universality10. Concluding remarks and open problems