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Keywords:
descriptive set theory; ideals of compact sets
descriptive set theory; ideals of compact sets
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.
References:
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[2] Kechris A.S.: Classical Descriptive Set Theory. Springer, New York, 1995. MR 1321597 | Zbl 0819.04002
[3] Matheron É., Zelený M.: Descriptive set theory of families of small sets. Bull. Symbolic Logic 13 (2007), no. 4, 482--537. DOI 10.2178/bsl/1203350880 | MR 2369671
[4] Solecki S.: $G_{\delta}$ ideals of compact sets. J. Eur. Math. Soc.(to appear). MR 2800477
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