A coding of separable Banach spaces. Analytic and coanalytic families of Banach spaces

Fundamenta Mathematicae

Volumn 172, Issue 2, 2002, Pages 117-152

  Bossard, Benoît ^a  

^a SORBONNE UNIVERSITÉ   (France)

Author keywords

Analytic relations; Coanalytic ranks; Coanalytic sets; Codings

Indexed keywords

EID: 0036353814     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm172-2-3     Document Type: Article

References (45)

1. The Banach spaces of Maurey and Rosenthal and totally incomparable bases
2. Codages des espaces de Banach séparables. Familles analytiques ou coanalytiques d'espaces de Banach
3. An ordinal version of some applications of the classical interpolation theorem
4. On a problem of H. P. Rosenthal
5. Hurewicz's theorems and renormings of Banach spaces
6. The point of continuity property: Descriptive complexity and ordinal index
7. The Szlenk index and operators on C(K) spaces
8. On convergent sequences of continuous functions
9. On separable Banach spaces, universal for all separable reflexive spaces
10. p-spaces
11. Topology and Borel structure
12. Topological properties of the set of norm-attaining linear functionals
13. Les dérivations en théorie descriptive des ensembles et le théo-rème de la borne
14. Smoothness and Renormings in Banach spaces
15. Vector measures
16. On analytic families of sets in harmonic analysis
17. The Szlenk index and its applications
18. A solution to Banach 's hyperplane problem
19. The unconditional basis sequence problem
20. A Glimm-Effros dichotomy for Borel equivalence relations
21. Zur theorie der analytischen mengen
22. A separable somewhat reflexive Banach space with nonseparable dual
23. Bases and reflexivity of Banach spaces
24. Topics on analytic sets
25. Fourier transforms and descriptive set theory
26. Descriptive set theory and the structure of sets of uniqueness
27. A classification of Baire class 1 functions
28. Some descriptive set-theoretic properties of the isomorphism relation between Banach spaces
29. Isomorphic characterizations of inner product spaces by orthogonal series with vector coefficients
30. Dentability indices and locally uniformly convex renormings
31. On the Szlenk index and the weak* dentability index
32. Indices de Szlenk et espaces de James
33. 1 and whose duals are non-separable
34. Über die Menge der differenzierbaren Funktionen
35. The set of continuous nowhere differentiable functions
36. Banach spaces which are Asplund spaces
37. Universal bases
38. Some properties of the Pisier-Xu interpolation spaces
39. The non-existence of a separable reflexive Banach space universal for all separable reflexive Banach spaces
40. Les dérivations analytiques