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Absoluteness of complexity of sets of reals

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#set-theory #descriptive-set-theory
123
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Overall confusion in Moschovakis' Proof that $\Sigma_2 ^0$ games are determined (Page 221)

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#set-theory #descriptive-set-theory #infinite-games
648
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What is the Borel Hierarchy?

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#soft-question #descriptive-set-theory #borel-sets
42
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Homeomorphic product spaces

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#general-topology #reference-request #set-theory #descriptive-set-theory
83
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Preimage measurable w.r.t. Effros Borel structure

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#measure-theory #descriptive-set-theory #polish-spaces
198
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Ordinals in $L$, the constructible universe

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#set-theory #model-theory #ordinals #descriptive-set-theory
73
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numerical formulas over $V$ and $L$

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#logic #set-theory #model-theory #descriptive-set-theory
26
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Sequences $(A_n)_{n\in\omega}\subset \boldsymbol{\Delta}_2^0$ such that $\bigcup_{n\in\omega} A_n \in \boldsymbol{\Delta}_2^0$

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#set-theory #descriptive-set-theory #borel-sets
34
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Where do winning strategies occur for Player II in the Determinacy of Computable Open Games relative to a parameter?

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#set-theory #ordinals #descriptive-set-theory #infinite-games
41
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Separating preimages of opens sets by Baire functions

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#logic #set-theory #descriptive-set-theory
206
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applying Martin's axiom

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#logic #set-theory #model-theory #descriptive-set-theory #forcing
115
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Why is $A^\mathbb{N}$ with the discrete topology a polish space

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#general-topology #solution-verification #descriptive-set-theory #polish-spaces
379
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Gentle Introduction to Descriptive Set theory

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#reference-request #book-recommendation #descriptive-set-theory
63
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Recursive in a $\Sigma^0_2$-singleton implies recursive

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#set-theory #computability #descriptive-set-theory
89
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A continuous function with uncountable image between Polish spaces is injective on a generic compact set

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#general-topology #descriptive-set-theory #polish-spaces

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