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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Two $F_{\sigma\delta}$ ideals


Authors: Ilijas Farah and Slawomir Solecki
Journal: Proc. Amer. Math. Soc. 131 (2003), 1971-1975
MSC (2000): Primary 54D55, 06E99
Published electronically: January 8, 2003
MathSciNet review: 1955288
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Abstract: We find two $F_{\sigma\delta}$ ideals on $\mathbb N$ neither of which is $F_\sigma$whose quotient Boolean algebras are homogeneous but nonisomorphic. This solves a problem of Just and Krawczyk (1984).


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Additional Information

Ilijas Farah
Affiliation: Department of Mathematics, CUNY, Graduate Center and College of Staten Island, Staten Island, New York 10314 – and – Matematicki Institut, Kneza Mihaila 35, Belgrade, Serbia
Address at time of publication: Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto, Ontario, Canada M3J 1P3
Email: ifarah@gc.cuny.edu, ifarah@mathstat.yorku.ca

Slawomir Solecki
Affiliation: Department of Mathematics, 1409 W. Green Street, University of Illinois, Urbana, Illinois 61801
Email: ssolecki@math.uiuc.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-03-06734-0
PII: S 0002-9939(03)06734-0
Received by editor(s): August 27, 2001
Received by editor(s) in revised form: February 8, 2002
Published electronically: January 8, 2003
Additional Notes: The first author acknowledges support received from the National Science Foundation (USA) via grant DMS-40313-00-01 and from the PSC-CUNY grant #62785-00-31. The second author was supported by NSF grants DMS-9803676 and DMS-0102254
Communicated by: Alan Dow
Article copyright: © Copyright 2003 American Mathematical Society