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Title: A note on $G_\delta$ ideals of compact sets (English)
Author: Saran, Maya
Language: English
Journal: Commentationes Mathematicae Universitatis Carolinae
ISSN: 0010-2628 (print)
ISSN: 1213-7243 (online)
Volume: 50
Issue: 4
Year: 2009
Pages: 569-573
Summary lang: English
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Category: math
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Summary: Solecki has shown that a broad natural class of $G_{\delta}$ ideals of compact sets can be represented through the ideal of nowhere dense subsets of a closed subset of the hyperspace of compact sets. In this note we show that the closed subset in this representation can be taken to be closed upwards. (English)
Keyword: descriptive set theory
Keyword: ideals of compact sets
MSC: 03E15
MSC: 28A05
MSC: 54H05
idZBL: Zbl 1212.03031
idMR: MR2583134
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Date available: 2009-12-22T10:03:56Z
Last updated: 2013-09-22
Stable URL: http://hdl.handle.net/10338.dmlcz/137447
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Reference: [1] Choquet G.: Theory of capacities.Ann. Inst. Fourier (Grenoble) 5 (1953--1954), 131--295. Zbl 0679.01011, MR 0080760, 10.5802/aif.53
Reference: [2] Kechris A.S.: Classical Descriptive Set Theory.Springer, New York, 1995. Zbl 0819.04002, MR 1321597
Reference: [3] Matheron É., Zelený M.: Descriptive set theory of families of small sets.Bull. Symbolic Logic 13 (2007), no. 4, 482--537. MR 2369671, 10.2178/bsl/1203350880
Reference: [4] Solecki S.: $G_{\delta}$ ideals of compact sets.J. Eur. Math. Soc.(to appear). MR 2800477
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