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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
498
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Gale-Stewart game

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#game-theory #the-baire-space #infinite-games
52
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Baire Space and Its Equivalent Property

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#the-baire-space
205
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The Baire space as an automorphism group?

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#general-topology #model-theory #descriptive-set-theory #the-baire-space
101
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Two Baire measure, $\left\{A\subseteq X: A \text{ Baire set}\ \mu(A)=\nu(A)\right\}$ is $\sigma$-algebra

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#functional-analysis #measure-theory #the-baire-space
266
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$S_\infty$ is a non-locally compact Polish group (Kechris)

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#permutations #topological-groups #descriptive-set-theory #the-baire-space
149
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Baire space $\mathbb{N}^\mathbb{N}$ written as $\mathbb{R}$

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#set-theory #real-numbers #descriptive-set-theory #the-baire-space
64
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What can I say about $A^{c}$ if $A$ is not open

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#real-analysis #general-topology #functional-analysis #the-baire-space
72
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$H$ thin in $X$ implies that $X\setminus H$ contains a generic subset

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#general-topology #functional-analysis #the-baire-space
857
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Let $X$ be a complete metric space. $E$ is a non empty open set in $X$ Then is $E$ a first category set or second category set.

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#real-analysis #general-topology #analysis #baire-category #the-baire-space
354
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Polish spaces are continuous images of the Baire space

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#proof-writing #descriptive-set-theory #the-baire-space #polish-spaces
165
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How to show that $\mathbb{N}$ is a Baire space

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#general-topology #baire-category #the-baire-space
23
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Convergence in the Baire space $\mathcal{N}=\mathbb{N}^{\mathbb{N}}$

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#proof-verification #convergence-divergence #the-baire-space
1.2k
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Is the Baire space $\sigma$-compact?

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#general-topology #compactness #the-baire-space
130
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Baire space has isolated point

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#baire-category #the-baire-space

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