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Cardinality of all $\mathbf{\Sigma}^0_\alpha$-sets over Baire space without full choice

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#set-theory #axiom-of-choice #descriptive-set-theory
252
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Theorem of Galvin, Mycielski and Solovay

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#real-analysis #reference-request #set-theory #descriptive-set-theory
38
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The game $G(K,X)$

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#general-topology #descriptive-set-theory
135
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Infinite product space (TOPOLOGY)

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#general-topology #descriptive-set-theory
398
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Non analytic sets?

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#descriptive-set-theory
330
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Cardinality of an algebra

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#measure-theory #set-theory #lebesgue-measure #descriptive-set-theory
847
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Banach-Mazur Game: Proof about winning strategies

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#general-topology #game-theory #descriptive-set-theory
69
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How to show: a non-scattered Čech-complete space, contains a compact subspace which can be continuously mapped onto the Cantor-set

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#general-topology #descriptive-set-theory
1.2k
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Homeomorphism between $\prod X_i$ and the Cantor set

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#general-topology #descriptive-set-theory #cantor-set
185
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Conditional probability independent of one variable

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#measure-theory #probability-theory #descriptive-set-theory
111
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Complexity of a Borel linear subspace of a Banach space

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#functional-analysis #banach-spaces #descriptive-set-theory
90
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The Cantor set and it's connection to t(C_p(X))

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#general-topology #descriptive-set-theory
120
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Strong Choquet preimage implies strong Choquet?

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#general-topology #descriptive-set-theory #infinite-games
129
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Is the set of continuous function with Lebesgue zero set a Borel set in continuous space?

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#real-analysis #measure-theory #roots #descriptive-set-theory
37
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reverse-reverse of Michael selection theorem

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#general-topology #functional-analysis #descriptive-set-theory

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