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Are compact groups acting on Polish spaces essentially Polish?

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#general-topology #compactness #topological-groups #descriptive-set-theory #polish-groups
659
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For any countable ordinal $\alpha$, there is some closed set of reals whose Cantor-Bendixson rank is $\alpha$

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#general-topology #set-theory #ordinals #descriptive-set-theory
200
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how to construct a rudimentary function $h$ used in the paper ''scales in $L(\mathbb{R})$''

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#set-theory #descriptive-set-theory
154
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Under $MA+\neg CH$ there exists a $Q$-set.

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#general-topology #set-theory #descriptive-set-theory
338
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Separating closed sets in the bubble space. (a.k.a Moore plane a.ka. Niemytzki plane.)

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#general-topology #descriptive-set-theory
121
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Precision on the Baire property

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#general-topology #set-theory #descriptive-set-theory
65
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Uniqueness in Baire property representation for compact Hausdorff spaces

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#general-topology #descriptive-set-theory #baire-category
702
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Can height of tree more than $\aleph_0$

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#set-theory #descriptive-set-theory
102
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Example of a unit circle subset that is $F_{\sigma\delta}$ but not $F_\sigma$

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#complex-analysis #descriptive-set-theory
161
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Finite approximations to transfinite sums of real numbers.

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#measure-theory #set-theory #descriptive-set-theory
433
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A Homeomorphism Between the Baire Space and a Countable $G_\delta$ set of the Cantor Space

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#general-topology #descriptive-set-theory #the-baire-space
232
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A Cech-complete subspace is a $G_\delta$ in its closure

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#general-topology #descriptive-set-theory #baire-category #compactification #metrizability
371
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Are countable sets meagre?

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#general-topology #descriptive-set-theory
181
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Is the topological closure of a transitive relation itself transitive?

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#general-topology #relations #descriptive-set-theory
186
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On regular closed sets which are not open-closed

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#general-topology #boolean-algebra #descriptive-set-theory

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