Countable Dimensionality, a Game and the Haver Property

Authors

Liljana Babinkostova, Boise State UniversityFollow
Marion Scheepers, Boise State UniversityFollow

Document Type

Article

Publication Date

9-2021

Abstract

We characterize the countable dimensionality of metric spaces in terms of a game-theoretic version of a covering property of Haver, and conjecture a game-theoretic equivalent of Haver’s covering property for metric spaces.

Publication Information

Babinkostova, Liljana and Scheepers, Marion. (2021). "Countable Dimensionality, a Game and the Haver Property". Proceedings of the American Mathematical Society, 149(9), 3939-3945. https://doi.org/10.1090/proc/15492