Analytic ideals and their applications

Annals of Pure and Applied Logic

Volumn 99, Issue 1-3, 1999, Pages 51-72

  Solecki, Sławomir ^a  

^a INDIANA UNIVERSITY   (United States)

Author keywords

Borel equivalence relation; Ideal of subsets of natural numbers; Maharam submeasure; Polish group; Rudin Keisler order

Indexed keywords

EID: 0033620985     PISSN: 01680072     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-0072(98)00051-7     Document Type: Article

References (16)

1. M. Balcerzak, A. Roslanowski, On Mycielski ideals, Proc. Amer. Math. Soc. 110 (1990) 243-250.
2. E. Hewitt, K.A. Ross, Abstract Harmonie Analysis, I, Springer, New York, 1963.
3. A.S. Kechris, Countable sections for locally compact group actions, Ergodic Theory Dyn. Systems 12 (1992) 283-295.
4. A.S. Kechris, Classical Descriptive Set Theory, Springer, Berlin, 1995.
5. A.S. Kechris, A. Louveau, A classification of hypersmooth equivalence relations, J. Amer. Math. Soc. 10 (1997) 215-242.
6. A.S. Kechris, A. Louveau, H. Woodin, The structure of σ-ideals of compact sets, Trans. Amer. Math. Soc. 301 (1987) 263-288.
7. A.S. Kechris, S. Solecki. Approximating analytic by Borel sets and definable chain conditions, Israel J. Math. 89 (1995) 343-356.
8. K. Kunen, Random and cohen reals, in Handbook of Set-theoretic Topology, Elsevier, Amsterdam, 1984, pp. 887-911.
9. A. Louveau, B. Velickovic, A note on Borel equivalence relations, Proc. Amer. Math. Soc. 120 (1994) 255-259.
10. A.R.D. Mathias, A remark on rare filters, in: A. Hajnal et al.(Eds), Infinite and Finite Sets, Colloq. Math. Soc. Janos Bolyai 10, North-Holland, Amsterdam, 1975.
11. σ ideals, Proc. Amer. Math. Soc., to appear.
12. J. Mycielski, Some new ideals of sets on the real line, Colloq. Math. 20 (1969) 71-76.
13. ω, Preprint.
14. S. Solecki, Analytic ideals, Bull. Symb. Logic 2 (1996) 339-348.
15. M. Talagrand, Compacts de fonctions mesurables et filtres non mesurables, Studia Math. 67 (1980) 13-43.
16. S. Todorcevic, Analytic gaps, Fund. Math. 150 (1996) 55-66.