List questions from descriptive-set-theory

Published on 23 Feb 2026 - 4:40

57

Views

Show that there is a Borel function from [0,1] to $2^ω$

Published on 08 Apr 2015 - 11:23

98

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Exist a homeomorphic copy of $\mathcal{C}$ contained in $f(X)$. Where $\mathcal{C}=2^\mathbb{N}$.

Published on 09 Apr 2015 - 17:44

212

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Borel image of a Polish space

Published on 12 Apr 2015 - 17:03

37

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Coanalytic families of Banach spaces

Published on 13 Apr 2015 - 23:29

61

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What's the difference between $ω^{<ω}$ and $ω^{ω}$?

Published on 14 Apr 2015 - 17:47

62

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$\{K∈K(X):K⊆U\}$ for $U$ open in $X$ generates $\textbf{B}(K(X))$

Published on 14 Apr 2015 - 18:57

318

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No Borel well-order of the reals?

Published on 17 Apr 2015 - 19:53

346

Views

Closed set in Baire space

Published on 23 Feb 2026 - 4:35

117

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Analytic sets,, effros borel structure

Published on 19 Apr 2015 - 23:53

430

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Are measurable sets closed under projections?

Published on 20 Apr 2015 - 16:44

257

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How should the relativized Kleene pointclass $\Sigma^1_1(A)$ be defined?

Published on 23 Apr 2015 - 20:56

102

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Pointclass of $\text{dom}(F)$ where $F:\omega^\omega\rightarrow\omega^\omega$ is partial recursive.

Published on 26 Apr 2015 - 1:59

136

Views

Informal interpretation of meager sets

Published on 05 May 2015 - 1:24

218

Views

Lusin space, isolated point

Published on 10 May 2015 - 13:22

List Question

Every perfect Polish space is a continuous 1-1 image of the Baire space

Show that there is a Borel function from [0,1] to $2^ω$

Exist a homeomorphic copy of $\mathcal{C}$ contained in $f(X)$. Where $\mathcal{C}=2^\mathbb{N}$.

Borel image of a Polish space

Coanalytic families of Banach spaces

What's the difference between $ω^{<ω}$ and $ω^{ω}$?

$\{K∈K(X):K⊆U\}$ for $U$ open in $X$ generates $\textbf{B}(K(X))$

No Borel well-order of the reals?

Closed set in Baire space

Analytic sets,, effros borel structure

Are measurable sets closed under projections?

How should the relativized Kleene pointclass $\Sigma^1_1(A)$ be defined?

Pointclass of $\text{dom}(F)$ where $F:\omega^\omega\rightarrow\omega^\omega$ is partial recursive.

Informal interpretation of meager sets

Lusin space, isolated point

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