Universal Spaces and Mappings [Hardcover]

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

1. The construction of Containing Spaces
2. Saturated classes
3. Dimension-like functions
4. Saturated classes of spaces with structure
5. Completely regular and compact spaces
6. Saturated classes of mappings
7. Actions of groups
8. Containing Spaces and factorizing T-spectra
9. Isometries and universality
10. Concluding remarks and open problemsThis book presents only new results