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- W1571613416 abstract "Let X be a nonempty perfect Polish space with compatible complete metric d. Fix also a basis {V n } of nonempty open sets for X. Given A ⊆ X, consider the following *-game G*(A): $$ begin{gathered} {text{I}}quad (U_0^{(0)},U_1^{(0)})quad quad (U_0^{(1)},U_1^{(1)}) hfill quad quad quad quad quad quad quad {kern 1pt} quad quad quad quad quad quad quad cdots hfill {text{II}}quad quad quad quad quad quad {i_0}quad quad quad quad quad quad {i_1} hfill end{gathered} $$ U (n) i are basic open sets with diam (U (n) i <2−n,(overline {U_0^{(n)}} cap overline {U_0^{(n)}} = emptyset), i n Є {0,1}, and (overline {U_0^{(n + 1)} cup U_1^{(n + 1)}} subseteq U_{{i_n}}^{(n)}) ⊆ (U_{{i_n}}^{(n)}). Let x ∈ X be defined by {x} = ⋂ n (U_{{i_n}}^{(n)}). Then I wins iff x ∈ A.KeywordsPolish SpaceWinning StrategyTuring DegreeDensity TopologyStandard Borel SpaceThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves." @default.
- W1571613416 created "2016-06-24" @default.
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- W1571613416 date "1995-01-01" @default.
- W1571613416 modified "2023-09-27" @default.
- W1571613416 title "Games People Play" @default.
- W1571613416 doi "https://doi.org/10.1007/978-1-4612-4190-4_21" @default.
- W1571613416 hasPublicationYear "1995" @default.
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