A note on $G_\delta$ ideals of compact sets
Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 569-573
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library
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.
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.
Classification :
03E15, 28A05, 54H05
Keywords: descriptive set theory; ideals of compact sets
Keywords: descriptive set theory; ideals of compact sets
@article{CMUC_2009_50_4_a6,
author = {Saran, Maya},
title = {A note on $G_\delta$ ideals of compact sets},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {569--573},
year = {2009},
volume = {50},
number = {4},
mrnumber = {2583134},
zbl = {1212.03031},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a6/}
}
Saran, Maya. A note on $G_\delta$ ideals of compact sets. Commentationes Mathematicae Universitatis Carolinae, Tome 50 (2009) no. 4, pp. 569-573. http://geodesic.mathdoc.fr/item/CMUC_2009_50_4_a6/