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Results for choquet game
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7
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Is each Choquet topological group strong Choquet?
A topological space $X$ is called (strong) Choquet if the player II has a winning strategy in the (strong) Choquet game. … Is each Choquet topological group strong Choquet? …
- 42k
8
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Intersections of open sets and $\alpha$-favorable spaces
All these classes seem to be somehow related to Choquet game and Baire spaces. … game and Choquet game, similarly as in [K, Chapter 8]. …
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Locally complete space is topologically equivalent to a complete space
The result you want to prove also follows directly from Choquet's characterization of completely metrizable metric spaces as those for which the second player has a winning strategy in the "strong Choquet … game". …
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Accepted
How to show that something is not completely metrizable
There is an equivalent condition for complete metrizability in terms of a game known as the Choquet game. … The game is described, for example, in the book Classical Descriptive Set Theory by Kechris, who calls it the strong Choquet game.
The game goes like this. …
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7
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651
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Topological tameness beyond the Gandy-Harrington topology
in a certain topological game. … Unfortunately, for $k>1$ the strong Choquet property fails badly in $\tau_k$!
My question is:
Is there a weakening of the strong Choquet property that holds for $\tau_2$? …
- 20.7k
11
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On Applications of Forcing in Domain Theory
(MR1961398) Martin showed that the space of maximal points of a domain, among other things, has the strong Choquet completeness property. … The problem of characterizing the spaces that are domain representable is still open in the general case, as are various questions about special kinds of winning strategies in the Choquet game. …
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2
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Question about almost locally ccc and the Krom space
The Banach-Mazur game (or Choquet game) played on $X$ and the Banach-Mazur game played on $\mathcal{K}(X)$ are equivalents. …
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If non-empty player has a winning strategy in Banach-Mazur game BM(X), then it also has in B...
Topological spaces $X$ for which the second player (Non-empty) has a winning strategy in the Banach-Mazur game $BM(X)$ are called weakly $\alpha$-favorable by White and
Choquet by Kechris. …
- 42k
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Borel coloring of a graph on the set of all functions $f:\mathbb{N}\to\mathbb{N}$
However, the topology is what's known as strong Choquet (a property based on a certain infinite game), which allows one to carry out something very similar to category arguments. …
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