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arXiv · 1806.00785

The Banach--Mazur game and the strong Choquet game in domain theory

Judyta Bąk·Andrzej Kucharski
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Abstract

We prove that a player $\alpha$ has a winning strategy in the Banach--Mazur game on a space $X$ if and only if $X$ is F-Y countably $\pi$-domain representable. We show that Choquet complete spaces are F-Y countably domain representable. We give an example of a space, which is F-Y countably domain representable, but it is not F-Y $\pi$-domain representable.

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Judyta Bąk, Andrzej Kucharski. 2018-06-03. The Banach--Mazur game and the strong Choquet game in domain theory. https://arxiv.org/abs/1806.00785

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