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Rigidity properties of Borel ideals on the integers

Kechris, Alexander S. (1998) Rigidity properties of Borel ideals on the integers. Topology and Its Applications, 85 (1-3). pp. 195-205. ISSN 0166-8641. http://resolver.caltech.edu/CaltechAUTHORS:20130517-113148990

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Abstract

We classify the Borel ideals I on the set of natural numbers N for which p(N)/I can be Borel embedded into the orbit space of a Borel action of the infinite symmetric group. As a consequence we show that certain Borel ideals I, including the Fréchet ideal, are completely characterized by the “Borel cardinality” of the set p(N)/I.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/S0166-8641(97)00150-8DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/S0166864197001508PublisherUNSPECIFIED
Additional Information:© 1998 Elsevier Science B.V. Received 30 September 1996. Research partially supported by NSF grant DMS-9317509.
Funders:
Funding AgencyGrant Number
NSFDMS-9317509
Subject Keywords:Borel ideals; Polish groups; Borel actions; Borel equivalence relations
Classification Code:AMS classification: 03E15; 28D15
Record Number:CaltechAUTHORS:20130517-113148990
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130517-113148990
Official Citation:Alexander S. Kechris, Rigidity properties of Borel ideals on the integers, Topology and its Applications, Volume 85, Issues 1–3, 22 May 1998, Pages 195-205, ISSN 0166-8641, 10.1016/S0166-8641(97)00150-8. (http://www.sciencedirect.com/science/article/pii/S0166864197001508)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38560
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:22 May 2013 16:49
Last Modified:22 May 2013 16:49

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