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.
Keywords: descriptive set theory, ideals of compact sets
AMS Subject Classification: 03E15 28A05 54H05