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Descriptive set theory concept
In the mathematical field of descriptive set theory, a pointclass is a collection of sets of points, where a point is ordinarily understood to be an element
Pointclass
pointclass Γ, we want the prewellorderings below a given point in A to be uniformly represented both as a set in Γ and as one in the dual pointclass of
Scale (descriptive set theory)
Scale_(descriptive_set_theory)
In the mathematical field of descriptive set theory, a pointclass can be called adequate if it contains all recursive pointsets and is closed under recursive
Adequate_pointclass
pointclass. Equivalently, for each ordinal α ≤ θ the collection Wα of sets that show up before stage α is a pointclass. Conversely, every pointclass is
Wadge_hierarchy
n, together with a real parameter. The inductive sets form a boldface pointclass; that is, they are closed under continuous preimages. In the Wadge hierarchy
Inductive_set
Set theory concept
If Γ {\displaystyle {\boldsymbol {\Gamma }}} is an adequate pointclass whose dual pointclass has the prewellordering property, then Γ {\displaystyle {\boldsymbol
Prewellordering
Subfield of set theory
(perfect-information game) determinacy for a boldface pointclass implies Blackwell determinacy for the pointclass. This, combined with the Borel determinacy theorem
Determinacy
difference hierarchy over a pointclass is a hierarchy of larger pointclasses generated by taking differences of sets. If Γ is a pointclass, then the set of differences
Difference_hierarchy
lemma may be expressed generally as follows: Let Γ be a non-selfdual pointclass closed under real quantification and ∧, and ≺ a Γ-well-founded relation
Moschovakis_coding_lemma
Topics referred to by the same term
Point class may refer to Pointclass sets in mathematics Point-class sealift ship Point-class cutter This disambiguation page lists articles associated
Point_class
Difference of an open set by a meager set
The converse does not hold; however, if every game in a given adequate pointclass Γ {\displaystyle \Gamma } is determined, then every set in Γ {\displaystyle
Property_of_Baire
make the axiom of uniformization equivalent to the axiom of choice. A pointclass Γ {\displaystyle {\boldsymbol {\Gamma }}} is said to have the uniformization
Uniformization_(set_theory)
Subfield of mathematical logic
theory such as Kripke–Platek set theory and second-order arithmetic. Pointclass Prewellordering Scale property Kechris, Alexander S. (1994). Classical
Descriptive_set_theory
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Boy/Male
Tamil
Daasharathi | தாஷாரதீ
Lord Rama
Male
Italian
Italian and Spanish form of Latin Basilius, BASILIO means "king."
Boy/Male
Bengali, Gujarati, Hindu, Indian, Kannada, Marathi, Sanskrit, Telugu
Muttering Prayers
Girl/Female
Tamil
Shanthamma | ஷாநà¯à®¤à®¾à®®à®®à®¾à®‚Â
Mother of peace
Boy/Male
Tamil
Hitanshu | ஹிதாஂஷà¯Â
Well wisher
Girl/Female
Arabic, Muslim
Beauty; Gracefulness; Comeliness
Boy/Male
Tamil
Unassuming, Knowledgeable, Modest, Venus, Requester
Girl/Female
Hindu, Indian, Kannada, Marathi, Tamil
Silver
Girl/Female
Indian
Softened
Surname or Lastname
English
English : variant of Jarvis.
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