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Applications of descriptive set theory to mathematical logic?

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#reference-request #logic #descriptive-set-theory
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Subsets of the Cantor set

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#real-analysis #general-topology #descriptive-set-theory #cantor-set
637
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Polish space in which the interior of each compact set is empty

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#general-topology #metric-spaces #descriptive-set-theory
220
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Is it easier to make perfect sets using intersection

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#general-topology #metric-spaces #descriptive-set-theory
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Classification of a kind of compact sets

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#real-analysis #general-topology #descriptive-set-theory
804
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Does every Lebesgue measurable set have the Baire property?

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#descriptive-set-theory
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What is the cardinality of the set of all topologies on $\mathbb{R}$?

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#general-topology #descriptive-set-theory
321
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Convergence in topologies

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#general-topology #convergence-divergence #descriptive-set-theory
19.4k
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Cardinality of Borel sigma algebra

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#real-analysis #measure-theory #probability-theory #set-theory #descriptive-set-theory
403
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Dense subset of the plane that intersects every rational line at precisely one point?

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#real-analysis #measure-theory #axiom-of-choice #examples-counterexamples #descriptive-set-theory
325
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Complexity of the set of computable ordinals

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#reference-request #logic #computability #descriptive-set-theory #ordinals
560
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Borel subsets of the unit square

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#measure-theory #descriptive-set-theory
1.5k
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Does a dense $G_\delta$ subset of a complete metric space without isolated points contain a perfect set?

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#general-topology #analysis #descriptive-set-theory
219
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Does there exist a subset of $\mathbb{R}$ of cardinality $2^{\aleph_0}$ that has no perfect subset?

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#set-theory #descriptive-set-theory
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"Nice" well-orderings of the reals

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#logic #set-theory #descriptive-set-theory #large-cardinals

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