List questions from baire-category

Published on 11 Nov 2017 - 21:07

726

Views

Geometric Intuition of regular open sets

Published on 15 Nov 2017 - 11:11

118

Views

Is it true that $(F\vee G)_\delta$ subset of hereditarily baire spaces is baire spaces?

Published on 15 Nov 2017 - 15:36

145

Views

Is $\mathbb{R} \backslash \mathbb{Q}$ a $F_{\delta}$ set?

Published on 16 Nov 2017 - 21:31

4.8k

Views

Show that a complete metric space without isolated points is uncountable

Published on 16 Nov 2017 - 22:04

1.1k

Views

Meager, Nonmeager, and Comeager

Published on 18 Nov 2017 - 6:58

674

Views

If $f\in L^1(\Bbb R,dx)$ then prove that for almost every $x\in\Bbb R$ $\lim\limits_{n\to \infty} f(nx) = 0.$

Published on 19 Nov 2017 - 18:22

126

Views

Baire space upper semicontinuos map

Published on 23 Feb 2026 - 16:39

108

Views

Local equivalent of genericness?

Published on 20 Nov 2017 - 8:40

57

Views

Determine category of the sets

Published on 21 Nov 2017 - 0:39

101

Views

Prove: $E^1_u$ with the usual topology is a Baire space

Published on 22 Nov 2017 - 17:21

152

Views

What is the closure and interior of this set in this space?

Published on 23 Nov 2017 - 14:24

2k

Views

Infinite dimensional normed Banach space cannot have countable basis

Published on 29 Nov 2017 - 10:32

245

Views

Uniformly bounded continuous functions in a complete metric space

Published on 29 Nov 2017 - 19:17

389

Views

Discontinuity set of function on Banach metric space is meagre

Published on 29 Mar 2026 - 12:12

List Question

Baire's Category Theorem fails for uncountable intersection of open, dense subsets

Geometric Intuition of regular open sets

Is it true that $(F\vee G)_\delta$ subset of hereditarily baire spaces is baire spaces?

Is $\mathbb{R} \backslash \mathbb{Q}$ a $F_{\delta}$ set?

Show that a complete metric space without isolated points is uncountable

Meager, Nonmeager, and Comeager

If $f\in L^1(\Bbb R,dx)$ then prove that for almost every $x\in\Bbb R$ $\lim\limits_{n\to \infty} f(nx) = 0.$

Baire space upper semicontinuos map

Local equivalent of genericness?

Determine category of the sets

Prove: $E^1_u$ with the usual topology is a Baire space

What is the closure and interior of this set in this space?

Infinite dimensional normed Banach space cannot have countable basis

Uniformly bounded continuous functions in a complete metric space

Discontinuity set of function on Banach metric space is meagre

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