List questions from polish-spaces

Published on 23 Feb 2026 - 5:51

78

Views

Katetov-maps with same support

Published on 23 Feb 2026 - 5:57

50

Views

If $\tau$ and $\tau'$ define the same borel sets, then $\tau=\tau'$

Published on 23 Feb 2026 - 5:54

101

Views

Polish group actions: if an orbit is non-meager in itself, it is a Baire space?

Published on 23 Feb 2026 - 5:57

579

Views

Lusin’s Theorem for Polish spaces with infinite Radon measure

Published on 29 Jan 2021 - 1:20

88

Views

On positive dimensional Polish spaces in which every compact set has empty interior

Published on 12 Feb 2021 - 13:47

599

Views

Are Radon measures on Polish spaces $\sigma$-finite?

Published on 18 Feb 2021 - 4:56

47

Views

On gaps in the dimension of subspaces

Published on 20 Feb 2021 - 12:32

279

Views

Locally finite vs. Borel measures on $\sigma$-compact Polish spaces

Published on 22 Feb 2021 - 7:06

180

Views

$(a,b)$ is polish space with induced topology

Published on 14 Mar 2021 - 13:29

91

Views

Why the space of Katětov functions with finite support is separable?

Published on 31 Mar 2021 - 6:34

121

Views

Borel isomorphisms between perfect Polish spaces and their "rank"

Published on 04 May 2021 - 7:27

104

Views

Uncoutable Borel Set of Polish Space Contains Cantor Set: Proof Step

Published on 25 May 2021 - 9:33

90

Views

Second-countable, analytic, completely Baire spaces

Published on 07 Jun 2021 - 15:54

66

Views

$(X, \mathcal{T})$ Polish and $F \subseteq X$ closed $\implies$ topology generated by $\mathcal{T} \cup \{ F \}$ is Polish

Published on 28 Jun 2021 - 14:59

List Question

Group of isometries of a Polish metric space acting on the space – the orbit of a point

Katetov-maps with same support

If $\tau$ and $\tau'$ define the same borel sets, then $\tau=\tau'$

Polish group actions: if an orbit is non-meager in itself, it is a Baire space?

Lusin’s Theorem for Polish spaces with infinite Radon measure

On positive dimensional Polish spaces in which every compact set has empty interior

Are Radon measures on Polish spaces $\sigma$-finite?

On gaps in the dimension of subspaces

Locally finite vs. Borel measures on $\sigma$-compact Polish spaces

$(a,b)$ is polish space with induced topology

Why the space of Katětov functions with finite support is separable?

Borel isomorphisms between perfect Polish spaces and their "rank"

Uncoutable Borel Set of Polish Space Contains Cantor Set: Proof Step

Second-countable, analytic, completely Baire spaces

$(X, \mathcal{T})$ Polish and $F \subseteq X$ closed $\implies$ topology generated by $\mathcal{T} \cup \{ F \}$ is Polish

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