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15
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Question of regular open

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#general-topology #descriptive-set-theory
282
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If $\mathcal{U}$ is a non-principal ultrafilter on $\mathbb{N}$ then $\mathcal{U}$ does not have the Baire property in $2^\mathbb{N}$

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#descriptive-set-theory #filters
127
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Topologizing Borel space so that certain functions become continuous

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#general-topology #metric-spaces #ergodic-theory #descriptive-set-theory
173
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A conceptual link between trees and Polish spaces

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#general-topology #set-theory #descriptive-set-theory
300
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Covering/packing lemma for a Polish space with a Borel probability measure

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#real-analysis #measure-theory #descriptive-set-theory
253
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Proof that the clopen subsets of $A^{\mathbb N}$ are finite unions using König's Lemma

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#general-topology #analysis #logic #descriptive-set-theory
60
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Topologizing ergodic system so that certain function becomes continuous

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#general-topology #metric-spaces #ergodic-theory #descriptive-set-theory
770
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Borel sigma algebra not containing all subsets of $\mathbb{R}$?

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#measure-theory #descriptive-set-theory
223
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Baire space, analytic sets

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#descriptive-set-theory #the-baire-space
243
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Increasing sequence of open sets in a separable metric space.

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#general-topology #metric-spaces #set-theory #descriptive-set-theory
186
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$X\times Y$ is second countable Baire spaces

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#general-topology #descriptive-set-theory
2.9k
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The inverse image of dense set is dense and of a comeager set is comeager?.

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#general-topology #continuity #descriptive-set-theory #baire-category
51
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$\text{BP}(X)/\text{MGR}(X)$ be the quotient space $\{[A]:A \in \text{BP}(X)\}$

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#descriptive-set-theory
49
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How many Borel sets are on an infinite Polish Space?

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#descriptive-set-theory
253
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A $G_δ$ subset of $2^ω$ that is homeomorphic to $ω^ω$

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#general-topology #descriptive-set-theory #cantor-set #the-baire-space

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