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Analytic sets are Lebesgue measurable

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#lebesgue-measure #descriptive-set-theory
109
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Why use transfinite induction？

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#set-theory #descriptive-set-theory #borel-sets
238
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Combinations of Lebesgue measurability, the property of Baire and the perfect set property

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#set-theory #descriptive-set-theory
141
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Is a weak basis of a topological space a basis and vice versa? (Kechris' book)

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#general-topology #descriptive-set-theory
180
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Baire Property on Baire Spaces (Kechris' book)

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#general-topology #descriptive-set-theory
57
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Meagerness on an open subset with the relative topology (Kechris)

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#general-topology #descriptive-set-theory
83
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Given a non-measurable set and a cardinal does there exist a subset of that cardinality which is measurable?

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#set-theory #descriptive-set-theory
273
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$S_\infty$ is a non-locally compact Polish group (Kechris)

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#permutations #topological-groups #descriptive-set-theory #the-baire-space
135
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Theorem $(8.29)$ (Kechris)

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#general-topology #descriptive-set-theory
234
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The canonical open set which is equal to a set with the BP modulo meager sets is regular open (Kechris)

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#general-topology #descriptive-set-theory
277
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What is the set of pointwise limits of polynomials?

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#real-analysis #functional-analysis #weak-convergence #descriptive-set-theory #weierstrass-approximation
195
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Body of a pruned tree is closed

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#general-topology #descriptive-set-theory
149
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Extending an homeomorphism to a $G_\delta$ set (comment on @Brian M. Scott's proof)

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#general-topology #metric-spaces #descriptive-set-theory
108
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Independence of the uniform metric from the compatible metric for the codomain

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#general-topology #compactness #uniform-convergence #descriptive-set-theory
311
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Does every null set have a superset which is an $F_{\sigma}$ null set?

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#measure-theory #descriptive-set-theory #cantor-set

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