On the instability of a topological game related to consonance

@article{Jordan2020OnTI,
title={On the instability of a topological game related to consonance},
author={Francis Jordan},
journal={Topology and its Applications},
year={2020},
volume={271},
pages={106990}
}

Abstract In this paper we study connections between topological games such as Rothberger, Menger, and compact-open games, and we relate these games to properties involving covers by ${{G}_{\delta }}$… Expand

We show that a set of reals is undetermined in Galvin’s point-open game iff it is uncountable and has property C′′, which answers a question of Gruenhage. Let X be a topological space. The point-open… Expand

A topology is called consonant if the corresponding upper Kuratowski topology on closed sets coincides with the co-compact topology, equivalently if each Scott open set is compactly generated. It is… Expand

Studies in logic and the foundations of mathematics

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This research level monograph reflects the current state of the field and provides a reference for graduate students entering the field as well as for established researchers.

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