Acoustic wave equation: Difference between revisions

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In [[descriptive set theory]], a '''lightface analytic game''' is a [[Determinacy#Games|game]] whose [[Determinacy#Games|payoff set]] ''A'' is a <math>\Sigma^1_1</math> [[subset]] of [[Baire space (set theory)|Baire space]]; that is, there is a [[Tree (descriptive set theory)|tree]] ''T'' on <math>\omega\times\omega</math> which is a [[computable]] subset of <math>(\omega\times\omega)^{<\omega}</math>, such that ''A'' is the projection of the set of all branches of ''T''.
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The [[determinacy]] of all lightface analytic games is  equivalent to the existence of [[Zero sharp|0<sup>#</sup>]].
 
[[Category:Effective descriptive set theory]]
[[Category:Determinacy]]
 
 
{{mathlogic-stub}}

Revision as of 20:06, 23 February 2014

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