Codings of separable compact subsets of the first Baire class

Annals of Pure and Applied Logic

Volumn 142, Issue 1-3, 2006, Pages 425-441

  Dodos, Pandelis ^a  

^a NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Baire class one functions; Pointwise convergent sequences; Separable compacta

Indexed keywords

EID: 33745597083     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apal.2006.05.006     Document Type: Article

References (25)

1. S.A. Argyros, P. Dodos, Genericity and amalgamation of classes of Banach spaces, Adv. Math. (in press)
2. Argyros S.A., Dodos P., and Kanellopoulos V. Tree structures associated to a family of functions. J. Symbolic Logic 70 (2005) 681-695
3. Argyros S.A., Godefroy G., and Rosenthal H.P. Descriptive Set Theory and Banach spaces. In: Johnson W.B., and Lindenstrauss J. (Eds). Handbook of the Geometry of Banach Spaces vol. 2 (2003), Elsevier
4. 1 sets. Fund. Math. 128 (1987) 159-170
5. Bourgain J. On convergent sequences of continuous functions. Bull. Soc. Math. Belg. 32 (1980) 235-249
6. Bourgain J., Fremlin D.H., and Talagrand M. Pointwise compact sets of Baire-measurable functions. Amer. J. Math. 100 (1978) 845-886
7. Debs G. Effective properties in compact sets of Borel functions. Mathematika 34 (1987) 64-68
8. Godefroy G. Compacts de Rosenthal. Pacific J. Math. 91 (1980) 293-306
9. Kechris A.S. Classical Descriptive Set Theory. Grad. Texts in Math. vol. 156 (1995), Springer-Verlag
10. Kechris A.S., and Louveau A. A classification of Baire class 1 functions. Trans. Amer. Math. Soc. 318 (1990) 209-236
11. Krawczyk A. Rosenthal compacta and analytic sets. Proc. Amer. Math. Soc. 115 (1992) 1095-1100
12. Lindenstrauss J., and Tzafriri L. Classical Banach Spaces I and II (1996), Springer
13. Marciszewski W. On a classification of pointwise compact sets of the first Baire class. Fund. Math. 133 (1989) 195-209
14. Martin D.A., and Kechris A.S. Infinite games and effective descriptive set theory. In: Rogers C.A., et al. (Ed). Analytic Sets (1980), Academic Press
15. Miller A.W. Problem list. available at. http://www.math.wisc.edu/~miller
16. Moschovakis Y.N. Descriptive Set Theory (1980), North Holland, Amsterdam
17. 1. Israel J. Math. 20 (1975) 375-384
18. R. Pol, On pointwise and weak topology in function spaces, Warszaw University, 1984
19. Pol R. Note on compact sets of first Baire class functions. Proc. Amer. Math. Soc. 96 (1986) 152-154
20. Pol R. Note on pointwise convergence of sequences of analytic sets. Mathematika 36 (1989) 290-300
21. Rosenthal H.P. Pointwise compact subsets of the first Baire class. Amer. J. Math. 99 (1977) 362-378
22. Rosenthal H.P. Some recent discoveries in the isomorphic theory of Banach spaces. Bull. Amer. Math. Soc. 84 (1978) 803-831
23. Silver J.H. Every analytic set is Ramsey. J. Symbolic Logic 35 (1970) 60-64
24. Silver J.H. Counting the number of equivalence classes of Borel and coanalytic equivalence relations. Ann. Math. Logic 18 (1980) 1-28
25. Todorčević S. Compact subsets of the first Baire class. J. Amer. Math. Soc. 12 (1999) 1179-1212