Descriptive Topology in Selected Topics of Functional Analysis Updated and Expanded /
A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology. Written by experts in the field, this book is a treasure trove for researchers and graduate students studying the interplay among the areas of point-set and descripti...
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| Autors principals: | , , , |
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| Autor corporatiu: | |
| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2025.
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| Edició: | 2nd ed. 2025. |
| Col·lecció: | Developments in Mathematics,
24 |
| Matèries: | |
| Accés en línia: | https://doi.org/10.1007/978-3-031-76062-4 |
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Taula de continguts:
- -- 1. Overview.
- 2. Elementary facts about Baire and Baire-type spaces.
- 3. K-analytic and quasi-Suslin Spaces.
- 4. Web-compact spaces and angelic theorems.
- 5. Strongly web-compact spaces and a closed graph theorem.
- 6. Weakly analytic spaces.
- 7. K-analytic Baire spaces.
- 8. A three-space property for analytic spaces.
- 9. K-analytic and analytic spaces Cp(X).
- 10. Precompact sets in (LM)-Spaces and dual metric spaces.
- 11. Metrizability of compact sets in the class G.
- 12. Weakly realcompact locally convex spaces.
- 13. Corson’s property (C) and tightness.
- 14. Fréchet-Urysohn spaces and groups.
- 15. Sequential properties in the class G.
- 16. Tightness and distinguished Fréchet spaces.
- 17. Distinguished spaces Cp(X) and Delta-spaces X.
- 18. Generalized metric spaces with G-bases.
- 19. The Grothendieck property for C(K)-Spaces.
- 20. The l1-Grothendieck property for C(K)-Spaces.
- 21. The Nikodym property of Boolean algebras.
- 22. Banach spaces with many projections.
- 23. Spaces of continuous functions over compact lines.
- 24. Compact spaces generated by retractions.
- 25. Complementably universal Banach spaces.