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What is the Sigma Algebra generated by Jordan measurable sets?

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#measure-theory #lebesgue-measure #riemann-integration #descriptive-set-theory #borel-sets
458
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Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null $F_\sigma$ set?

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#measure-theory #lebesgue-measure #examples-counterexamples #descriptive-set-theory #borel-sets
183
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Why are there continuum many nowhere dense subsets of $\mathbb R$?

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#real-analysis #set-theory #descriptive-set-theory
1k
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A perfect nowhere dense set which intersects every open set with positive measure?

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#general-topology #measure-theory #lebesgue-measure #descriptive-set-theory #cantor-set
396
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A dense measure $0$ $G_\delta$ subset of the Fat Cantor set?

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#measure-theory #lebesgue-measure #examples-counterexamples #descriptive-set-theory #cantor-set
1.2k
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Is every Borel subset of a measurable set measurable?

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#general-topology #measure-theory #lebesgue-measure #descriptive-set-theory #borel-sets
451
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Lebesgue Measurable Set which is not a union of a Borel set and a subset of a null meager set?

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#measure-theory #lebesgue-measure #descriptive-set-theory #baire-category #borel-sets
203
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Is the projection of a Jordan measurable set Jordan measurable?

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#measure-theory #lebesgue-measure #descriptive-set-theory #borel-sets
401
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Are there inner and outer approximation theorems for arbitrary measures?

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#measure-theory #lebesgue-measure #descriptive-set-theory
47
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How to show that $g:2^M\to 2^\mathbb{N}$ defined by $g(A) = X\cup A$ is continuous?

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#general-topology #descriptive-set-theory #ramsey-theory
272
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Problem 2. A comprehensive course in Analysis. Barry simon. Page 239.

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#functional-analysis #measure-theory #compactness #descriptive-set-theory #baire-category
86
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Function with the property $f\circ f=-id$

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#real-analysis #measure-theory #descriptive-set-theory
516
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Power set of Cantor set has cardinality greater than that of reals

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#real-analysis #elementary-set-theory #descriptive-set-theory
285
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Continuous image of a Polish space to another has the Baire property

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#general-topology #descriptive-set-theory #polish-spaces
660
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Every perfect set has cardinality $2^{\aleph_0}$?

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#general-topology #descriptive-set-theory

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