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. doi:10.1016/S0166-8641(97)00150-8. https://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 | |||||||||
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| Additional Information: | © 1998 Elsevier Science B.V. Received 30 September 1996. Research partially supported by NSF grant DMS-9317509. | |||||||||
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| Subject Keywords: | Borel ideals; Polish groups; Borel actions; Borel equivalence relations | |||||||||
| Issue or Number: | 1-3 | |||||||||
| Classification Code: | AMS classification: 03E15; 28D15 | |||||||||
| DOI: | 10.1016/S0166-8641(97)00150-8 | |||||||||
| Record Number: | CaltechAUTHORS:20130517-113148990 | |||||||||
| Persistent URL: | https://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: | 09 Nov 2021 23:38 |
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