Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Titan
|
| gptkbp:abbreviation |
gptkb:AD
|
| gptkbp:appliesTo |
games of length ω
|
| gptkbp:category |
gptkb:logic
|
| gptkbp:compatibleWith |
gptkb:Axiom_of_Choice
|
| gptkbp:consistencyRelativeTo |
gptkb:large_cardinal_axioms
|
| gptkbp:field |
gptkb:set_theory
|
| https://www.w3.org/2000/01/rdf-schema#label |
Axiom of Determinacy
|
| gptkbp:implies |
all sets of reals are Lebesgue measurable
all sets of reals have the perfect set property all sets of reals have the property of Baire |
| gptkbp:introduced |
gptkb:Hugo_Steinhaus
gptkb:Jan_Mycielski |
| gptkbp:introducedIn |
1962
|
| gptkbp:opposedBy |
gptkb:Axiom_of_Choice
|
| gptkbp:relatedTo |
gptkb:Axiom_of_Real_Determinacy
gptkb:Projective_Determinacy |
| gptkbp:state |
In every infinite two-player game of perfect information where players choose natural numbers in turn, one of the players has a winning strategy.
|
| gptkbp:symbol |
gptkb:AD
|
| gptkbp:usedIn |
gptkb:descriptive_set_theory
|
| gptkbp:bfsParent |
gptkb:ZFC_(with_choice)
|
| gptkbp:bfsLayer |
6
|