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15
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intersection about the second category

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#general-topology #topological-groups #descriptive-set-theory #baire-category #locally-compact-groups
365
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Dense-in-itself open sets in a subspace of the real line

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#general-topology #metric-spaces #descriptive-set-theory
220
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definition of countably generated Borel space

Published on
#descriptive-set-theory
139
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Let $X\subset \mathbb{R}$ be Borel measurable. Can it be that $\aleph_0 <|X|<2^{\aleph_0}$?

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#measure-theory #descriptive-set-theory
598
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The ethics of Borel determinacy

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#logic #set-theory #computability #proof-theory #descriptive-set-theory
90
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Not meager in $V^{\mathbb{C}_I}$

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#set-theory #descriptive-set-theory #forcing
257
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Undetermined game of length $\omega_1+\omega$, without choice

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#game-theory #axiom-of-choice #descriptive-set-theory
128
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Is the Borel reduction of an hyperfinite equivalence relation still hyperfinite?

Published on
#descriptive-set-theory
1k
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Is the Borel-sigma-Algebra of a Polish space always countably generated?

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#general-topology #descriptive-set-theory
524
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Continuous function on Polish space

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#general-topology #descriptive-set-theory
1.1k
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A construction of sigma-algebras - surely not new, right?

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#measure-theory #set-theory #descriptive-set-theory
389
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Continuous surjections onto $\mathbb{R}$

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#real-analysis #general-topology #descriptive-set-theory
388
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Product of Borel and non-Borel set

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#measure-theory #descriptive-set-theory
1.4k
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Cantor-Bendixson rank of a closed countable subset of the reals, and scattered sets

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#general-topology #ordinals #descriptive-set-theory
59
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Can we find a unique probability Borel measurable $\mu$ on $\mathcal{C}$ with $\mu(N_s)=\phi(s)$

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#measure-theory #descriptive-set-theory

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