# A note on ${G}_{\delta}$ ideals of compact sets

Commentationes Mathematicae Universitatis Carolinae (2009)

- Volume: 50, Issue: 4, page 569-573
- ISSN: 0010-2628

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topSaran, Maya. "A note on $G_\delta $ ideals of compact sets." Commentationes Mathematicae Universitatis Carolinae 50.4 (2009): 569-573. <http://eudml.org/doc/35131>.

@article{Saran2009,

abstract = {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.},

author = {Saran, Maya},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {descriptive set theory; ideals of compact sets; descriptive set theory; ideals of compact sets},

language = {eng},

number = {4},

pages = {569-573},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {A note on $G_\delta $ ideals of compact sets},

url = {http://eudml.org/doc/35131},

volume = {50},

year = {2009},

}

TY - JOUR

AU - Saran, Maya

TI - A note on $G_\delta $ ideals of compact sets

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 2009

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 50

IS - 4

SP - 569

EP - 573

AB - 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.

LA - eng

KW - descriptive set theory; ideals of compact sets; descriptive set theory; ideals of compact sets

UR - http://eudml.org/doc/35131

ER -

## References

top- Choquet G., 10.5802/aif.53, Ann. Inst. Fourier (Grenoble) 5 (1953--1954), 131--295. Zbl0679.01011MR0080760DOI10.5802/aif.53
- Kechris A.S., Classical Descriptive Set Theory, Springer, New York, 1995. Zbl0819.04002MR1321597
- Matheron É., Zelený M., 10.2178/bsl/1203350880, Bull. Symbolic Logic 13 (2007), no. 4, 482--537. MR2369671DOI10.2178/bsl/1203350880
- Solecki S., ${G}_{\delta}$ ideals of compact sets, J. Eur. Math. Soc.(to appear). MR2800477

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