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Can the Interval be Covered by Disjoint Cantor Sets?

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#general-topology #real-numbers #descriptive-set-theory #cantor-set
160
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What is the point of completing a Boolean algebra?

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#general-topology #boolean-algebra #descriptive-set-theory
75
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Unique witness form for $\Sigma^1_{n+1}$ formulas

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#logic #descriptive-set-theory
574
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Are "most" sets in $\mathbb R$ neither open nor closed?

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#real-analysis #general-topology #measure-theory #real-numbers #descriptive-set-theory
217
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The Baire space as an automorphism group?

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#general-topology #model-theory #descriptive-set-theory #the-baire-space
242
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Why doesn't this construction make the rational numbers a $G_\delta$ set?

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#general-topology #descriptive-set-theory #borel-sets
741
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Is the image of a $G_\delta$ set under a continuous mapping of $\mathbb R^n$ a Borel set?

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#real-analysis #descriptive-set-theory
187
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Are Baire class functions closed under pointwise limits?

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#general-topology #functional-analysis #banach-spaces #descriptive-set-theory
83
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The set of points reached exactly $n$ times is measurable

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#analysis #measure-theory #descriptive-set-theory #measurable-functions
202
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Analytic sets have perfect set property (Kechris)

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#real-analysis #general-topology #descriptive-set-theory
269
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Automorphisms on $(\mathbb R,+)$ and the Axiom of Choice

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#set-theory #axiom-of-choice #descriptive-set-theory
221
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What sets are obtained by adding $\aleph_1$ unions and intersections to the Borel algebra?

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#measure-theory #set-theory #descriptive-set-theory #borel-sets
149
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An undetermined measurable set and Borel Determinacy

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#logic #set-theory #descriptive-set-theory
438
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Example of a Lebesgue measurable set that can't be constructed from Borel sets and projections?

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#measure-theory #lebesgue-measure #examples-counterexamples #descriptive-set-theory #borel-sets
87
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Example of a non-Borel set on Euclidean space

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#probability-theory #measure-theory #descriptive-set-theory

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