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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
28
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$\{g\in G: gU=V\}$ in a Polish group

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#topological-groups #polish-groups
70
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Equivalence relation induced by a group action is an analytic set

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#descriptive-set-theory #polish-groups #polish-spaces
218
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If $H$ is a closed subgroup of $G$ then $H=G$ or $H$ is discrete?

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#general-topology #topological-groups #polish-groups
244
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Radon-Nikodym derivative of absolutely continuous part as a measurable function in a product space?

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#measure-theory #topological-groups #polish-groups
542
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Approximating Open Sets With Compact Sets in a $\sigma$-compact Polish Space

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#measure-theory #lebesgue-measure #locally-compact-groups #borel-sets #polish-groups
98
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Group of isometries of a Polish metric space acting on the space – the orbit of a point

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#general-topology #isometry #descriptive-set-theory #polish-spaces #polish-groups
72
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Katetov-maps with same support

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#metric-spaces #isometry #polish-spaces #polish-groups
47
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If $\tau$ and $\tau'$ define the same borel sets, then $\tau=\tau'$

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#general-topology #borel-sets #polish-spaces #polish-groups
95
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Polish group actions: if an orbit is non-meager in itself, it is a Baire space?

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#group-actions #descriptive-set-theory #baire-category #polish-spaces #polish-groups
82
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Small index property

Published on
#logic #permutations #topological-groups #descriptive-set-theory #polish-groups
64
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Is there a topological group structure on the Baire Space?

Published on
#topological-groups #the-baire-space #polish-groups
45
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Are all topological group structures on the Baire Space of the form $G^{\mathbb N}$ for $G$ a countable discrete group?

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#topological-groups #the-baire-space #polish-groups

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