A note on 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., ideals of compact sets, J. Eur. Math. Soc.(to appear). MR2800477
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