Gaps in analytic quotients

Fundamenta Mathematicae

Volumn 156, Issue 1, 1998, Pages 85-97

  Todorčević, Stevo ^a,b,c  

^a UNIVERSITY OF TORONTO   (Canada)

^b INSTITUT D ESTUDIS CATALANS   (Spain)

^c MATHEMATICAL INSTITUTE   (Serbia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002755941     PISSN: 00162736     EISSN: None     Source Type: Journal    
DOI: 10.4064/fm-156-1-85-97     Document Type: Article

References (24)

1. H. G. Dales and W. H. Woodin, An Introduction to Independence for Analysts, Cambridge Univ. Press, 1987.
2. ωω, Fund. Math. 151 (1996), 53-95.
3. -, Analytic ideals and their quotients, Ph.D. thesis, Univ. of Toronto, 1997.
4. F. Hausdorff, Die Graduierung nach dem Endverlauf, Abh. König. Sächs. Ges. Wiss. Math.-Phys. Kl. 31 (1909), 296-334.
5. -, Summen von א1 Mengen, Fund. Math. 26 (1936), 241-255.
6. S.-A. Jalali-Naini, The monotone subsets of Cantor space, filters and descriptive set theory, doctoral dissertation, Oxford, 1976.
7. n, Fund. Math. 132 (1989), 59-72.
8. -, Nowhere dense P-subsets of ω*, Proc. Amer. Math. Soc. 106 (1989), 1145-1146.
9. -, A modification of Shelah's oracle chain condition with applications, Trans. Amer. Math. Soc. 329 (1992), 325-341.
10. -, A weak version of AT from OCA, in: Math. Sci. Res. Inst. Publ. 26, Springer, 1992, 281-291.
11. W. Just and A. Krawczyk, On certain Boolean algebras P(ω)/I, Trans. Amer. Math. Soc. 285 (1984), 411-429.
12. A. S. Kechris, Lectures on definable group actions and equivalence relations, in preparation.
13. A. S. Kechris and A. Louveau, The classification of hypersmooth Borel equivalence relations, J. Amer. Math. Soc. 10 (1997), 215-242.
14. K. Kunen, (κ, γ*) gaps under MA, note of August 1976.
15. A. R. D. Mathias, A remark on rare filters, in: Infinite and Finite Sets, A. Hajnal et al. (ed.), Colloq. Math. Soc. János Bolyai 10, North-Holland, 1975, 1095-1097.
16. 1*-gaps in the Boolean algebra P(ω)/I, Fund. Math. 138 (1991), 103-111.
17. ω, in: Israel Math. Conf. Proc. 6, Bar-Ilan Univ., 1993, 439-561.
18. S. Shelah, Proper Forcing, Lecture Notes in Math. 940, Springer, 1982.
19. S. Solecki, Analytic ideals, Bull. Symbolic Logic 2 (1996), 339-348.
20. M. Talagrand, Compacts de fonctions mesurables et filtres non mesurables, Studia Math. 67 (1980), 13-43.
21. S. Todorčević, Partition Problems in Topology, Amer. Math. Soc., Providence, 1989.
22. -, Analytic gaps, Fund. Math. 150 (1996), 55-66.
23. B. Veličković, Definable automorphisms of P(ω)/fin, Proc. Amer. Math. Soc. 96 (1986), 130-135.
24. -, OCA and automorphisms of P(ω)/fin, Topology Appl. 49 (1992), 1-12.