A modification of Louveau and Velickovic’s construction for $F_\sigma$-ideals
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- by Krzysztof Mazur PDF
- Proc. Amer. Math. Soc. 128 (2000), 1475-1479 Request permission
Abstract:
We show that the construction of Louveau and Veličkovič can be modified to obtain an embedding of $([\omega ]^\omega ,\subset ^*)$ into the preorder $(F_\sigma \textit {-ideals},\le )$ where $\le$ is the relation of Borel reducibility.References
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- Alain Louveau and Boban Veli ković, A note on Borel equivalence relations, Proc. Amer. Math. Soc. 120 (1994), no. 1, 255–259. MR 1169042, DOI 10.1090/S0002-9939-1994-1169042-2
- Sławomir Solecki, Analytic ideals, Bull. Symbolic Logic 2 (1996), no. 3, 339–348. MR 1416872, DOI 10.2307/420994
Additional Information
- Krzysztof Mazur
- Affiliation: Department of Mathematics, University of Warsaw, 02-097, Warsaw, Banacha 2, Poland
- Email: krzymaz@mimuw.edu.pl
- Received by editor(s): December 9, 1997
- Received by editor(s) in revised form: January 6, 1998, and May 4, 1998
- Published electronically: February 7, 2000
- Additional Notes: The author passed away on October 30, 1998
- Communicated by: Carl G. Jockusch, Jr.
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 128 (2000), 1475-1479
- MSC (1991): Primary 04A15; Secondary 04A20
- DOI: https://doi.org/10.1090/S0002-9939-00-05061-9
- MathSciNet review: 1626442