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How do we find the number of sub-intervals whose intersection with the subset of the entire interval is non-empty?

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#number-theory #elementary-set-theory #descriptive-set-theory #pattern-recognition #pattern-matching
200
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Sections of a Borel set in the product space

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#set-theory #descriptive-set-theory #borel-sets
178
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Determinacy and Choice

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#reference-request #set-theory #axiom-of-choice #descriptive-set-theory #infinite-games
79
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Showing a particular set is Borel

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#real-analysis #general-topology #measure-theory #descriptive-set-theory #borel-sets
105
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Borel measurable function defined on level sets

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#real-analysis #measure-theory #descriptive-set-theory #measurable-functions #borel-sets
442
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Is the image of Borel measurable function essentially Borel measurable?

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#real-analysis #measure-theory #descriptive-set-theory #measurable-functions #borel-sets
207
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Image of Borel set under countable-to-one Borel function is Borel.

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#reference-request #descriptive-set-theory #borel-sets
222
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Banach-Mazur game and the Baire property

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#descriptive-set-theory #baire-category #infinite-games
328
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Problem about $F_\sigma$ and $G_\delta$ sets

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#general-topology #descriptive-set-theory
111
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Wadge Hierarchy on $\Delta^{0}_{2}$ sets

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#descriptive-set-theory #the-baire-space
45
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Nomenclature used to refer to the power set $\mathcal{P}$ as a pointclass

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#soft-question #terminology #descriptive-set-theory
440
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Could we ever hope to integrate all functions?

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#real-analysis #integration #set-theory #axioms #descriptive-set-theory
166
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Comparing the sizes of null sets

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#real-analysis #measure-theory #logic #descriptive-set-theory #infinite-games
165
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Countable union or intersection of Suslin sets is Suslin

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#real-analysis #general-topology #descriptive-set-theory
63
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Connectedness and complexity in Polish spaces

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#general-topology #connectedness #descriptive-set-theory #borel-sets #polish-spaces

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