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15
28
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Functional E convex and lower semicontinuous implies weakly lower semicontinuous in Wasserstein space

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#general-topology #convex-analysis #polish-spaces #wasserstein
77
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Why is the set of probability measures not weak*-compact?

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#general-topology #functional-analysis #probability-theory #polish-spaces
48
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Locally compact Polish space admits a proper metric

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#general-topology #separable-spaces #polish-spaces #metrizability
48
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Axiom of Choice and Borel determinacy for Polish space

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#set-theory #axiom-of-choice #infinite-games #polish-spaces
83
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Extension of Borel map from a separable metric space to a Polish space

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#general-topology #measure-theory #descriptive-set-theory #borel-sets #polish-spaces
69
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Suslin measurable sets and the smallest field containing all analytic sets

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#general-topology #measure-theory #set-theory #descriptive-set-theory #polish-spaces
72
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Why can I conclude $Q_n \xrightarrow{\mathscr{D}} Q$?

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#probability #probability-theory #weak-convergence #polish-spaces
30
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Is there a discontinuous closed injection of the first Baire class?

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#real-analysis #continuity #polish-spaces
45
Views

Perfect Kernel analogue for NON $\sigma-$compact subsets of a Polish space

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#set-theory #descriptive-set-theory #polish-spaces
158
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Embedding of Cantor space proof issue

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#measure-theory #proof-explanation #set-theory #cantor-set #polish-spaces
116
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When is the continuous image of a measurable subset of a Polish space measurable?

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#real-analysis #general-topology #measure-theory #descriptive-set-theory #polish-spaces
68
Views

Weak limit of coupling is a coupling.

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#probability-theory #measure-theory #polish-spaces
97
Views

Conditions for continuity of the map $x \mapsto \mu_x$ (where $ \mu = \intop \mu_x d \mu (x)$ is the ergodic decomposition of $\mu$)

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#measure-theory #dynamical-systems #ergodic-theory #weak-topology #polish-spaces
86
Views

Countable comeager set in an (uncountable) non perfect polish space

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#general-topology #descriptive-set-theory #polish-spaces
172
Views

Completeness of the Fell topology

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#general-topology #metric-spaces #descriptive-set-theory #polish-spaces

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