Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A modification of Louveau and Velickovic's construction for $F_\sigma$-ideals


Author: Krzysztof Mazur
Journal: Proc. Amer. Math. Soc. 128 (2000), 1475-1479
MSC (1991): Primary 04A15; Secondary 04A20
Published electronically: February 7, 2000
MathSciNet review: 1626442
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract:

We show that the construction of Louveau and Velickovic 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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 04A15, 04A20

Retrieve articles in all journals with MSC (1991): 04A15, 04A20


Additional Information

Krzysztof Mazur
Affiliation: Department of Mathematics, University of Warsaw, 02-097, Warsaw, Banacha 2, Poland
Email: krzymaz@mimuw.edu.pl

DOI: http://dx.doi.org/10.1090/S0002-9939-00-05061-9
PII: S 0002-9939(00)05061-9
Keywords: $F_\sigma$-ideal, Borel reducibility, reducing function
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.
Article copyright: © Copyright 2000 American Mathematical Society