Countable dimensionality, a game and the Haver property

Babinkostova, Liljana; Scheepers, Marion

doi:10.1090/proc/15492

Countable dimensionality, a game and the Haver property
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by Liljana Babinkostova and Marion Scheepers PDF

Proc. Amer. Math. Soc. 149 (2021), 3939-3945 Request permission

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.

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