Weakly Ramsey sets in Banach spaces

Advances in Mathematics

Volumn 160, Issue 2, 2001, Pages 133-174

  Bagaria, Joan ^a   López Abad, Jordi ^b  

^a UNIVERSITY OF BARCELONA   (Spain)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035948329     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.2001.1983     Document Type: Article

References (18)

1. J. Bagaria and J. López-Abad, Determinacy and Weakly Ramsey Sets in Banach Spaces, submitted for publication.
2. J. Baumgartner, Iterated forcing, in "Surveys in Set Theory," Pp. 1-59, Cambridge Univ. Press, Cambridge, UK, 1983.
3. E. Ellentuck, A new proof that analytic sets are Ramsey, J. Symbolic Logic 39 (1974), 163-165.
4. F. Galvin and K. Prikry, Borel sets and Ramsey's theorem, J. Symbolic Logic 38 (1973), 193-198.
5. W. T. Gowers and B. Maurey, The unconditional basic sequence problem, J. Amer. Math. Soc. 6 (1993), 851-874.
6. W. T. Gowers, Analytic Sets and Games in Banach Spaces, preprint, IHES M/94/42.
7. W. T. Gowers, A new dichotomy for Banach spaces, Geom. Funct. Anal. 6 (1996), 1083-1093.
8. W. T. Gowers, An Infinite Ramsey Theorem and Some Banach-space Dichotomies, preprint, 2000.
9. T. Jech, "Set Theory," Pure and Applied Mathematics, Academic Press, New York, 1978.
10. A. Kanamori, "The Higher Infinite," Springer-Verlag, Berlin, 1994.
11. A. S. Kechris, "Classical Descriptive Set Theory," Springer-Verlag, Berlin/New York, 1995.
12. J. Lindenstrauss and L. Tzafriri, "Classical Banach Spaces I," Springer-Verlag, Berlin/New York, 1977.
13. J. López-Abad, "Weakly-Ramsey Sets in Banach Spaces," Ph.D. thesis, Universitat de Barcelona, 2000.
14. A. R. D. Mathias, Happy families, Ann. Math. Logic 12 (1977), 59-111.
15. E. Odell and Th. Schlumprecht, The distortion problem, Acta Math. 173 (1994), 259-281.
16. E. Odell, Subspaces, Asymptotic Structure and Distortion of Banach Spaces: Connections with Logic, preprint, 1997.
17. J. Silver, Every analytic set is Ramsey, J. Symbolic Logic 35 (1970), 60-64.
18. B. Veličković, Forcing axioms and stationary sets, Adv. Math. 94 (1992), 256-284.