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15
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On the complexity of some $\sigma$-ideals in the Baire space

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#set-theory #descriptive-set-theory #forcing #the-baire-space
685
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$\Sigma_{\alpha+1}^0(X)$ universal set based on the Baire space

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#set-theory #descriptive-set-theory #the-baire-space
722
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Basic questions about $\mathbb{Z}^{\mathbb{N}}$ with the product topology

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#general-topology #metric-spaces #the-baire-space
740
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Measure on Baire space

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#analysis #measure-theory #set-theory #descriptive-set-theory #the-baire-space
438
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Proof that $\omega^\omega$ is completely metrizable and second countable

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#general-topology #functional-analysis #metric-spaces #the-baire-space
1.3k
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Dense subset of Cantor set homeomorphic to the Baire space

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#general-topology #metric-spaces #cantor-set #the-baire-space
149
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Does there exist a second category set that is not a Baire space?

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#general-topology #metric-spaces #baire-category #the-baire-space
232
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Equivalent formulations of analytic/ $\omega$-suslin sets (in Baire Space)

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#set-theory #recursion #computability #descriptive-set-theory #the-baire-space
138
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Recursive representation of closed sets in Baire Space ($\Sigma^1_1$)

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#set-theory #recursion #computability #descriptive-set-theory #the-baire-space
306
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On Čech-complete space.

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#general-topology #baire-category #the-baire-space
365
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A $G_{\delta}$ subset of a Baire space is Baire

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#general-topology #baire-category #the-baire-space
138
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Difficulty showing a dense $G_{\delta}$ subset of a Baire space is Baire

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#general-topology #baire-category #the-baire-space
40
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Description of a set in the Baire space.

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#real-analysis #metric-spaces #the-baire-space
258
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If $f_{n}$ has a dense image, then $\bigcap (f_{1}\circ\cdots\circ f_{n})(X_{n})$ is dense

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#general-topology #the-baire-space
216
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$X$, $Y$ be metric spaces and $f: X \to Y$. If $X$ is Baire and $Y$ is separable then $f$ is continuous in a dense $G_{\delta}$ of $X$

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#general-topology #the-baire-space

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