List questions from baire-category

Published on 28 Mar 2026 - 19:06

234

Views

Proving that $U_{n}$ is dense.

Published on 18 Mar 2020 - 10:10

846

Views

Writing $\mathbb{R}$ as a countable union of nowhere dense sets.

Published on 18 Mar 2020 - 13:17

142

Views

Understanding why we take $g \in L^1[0,1]\setminus L^2[0,1]$ and $f \in B_n$, in a solution.

Published on 19 Mar 2020 - 2:28

36

Views

A subset of the second Baire category on the real line

Published on 27 Mar 2026 - 15:24

219

Views

A Banach space cannot be countable union of its proper subspaces

Published on 30 Mar 2020 - 12:02

189

Views

Understanding a proof about the density of continuous points of a point-wise limit function.

Published on 31 Mar 2020 - 3:27

55

Views

Ball in closed convex set (from proof of open mapping thm)

Published on 26 Mar 2026 - 4:32

58

Views

Proof using Baire’s Lemma

Published on 14 Apr 2020 - 9:07

114

Views

2nd category set which is 1st category on itself

Published on 14 Apr 2020 - 20:22

48

Views

Generalising 'if a sequence of continuous functions tend pointwise on $[0,1]$ to f then f has a point of continuity'

Published on 17 Apr 2020 - 12:21

120

Views

Isolated points and Baire category theorem

Published on 19 Apr 2020 - 14:21

78

Views

Non normality of the tangent disk topology using Baire Category Theorem

Published on 19 Apr 2020 - 14:21

434

Views

In any Baire space, is there a $G_\delta$ set of first category not nowhere dense?

Published on 22 Apr 2020 - 2:57

398

Views

Contradiction involving the Cantor Set and Baire Category Theorem

Published on 26 Mar 2026 - 14:30

List Question

Does there exist a first category set that is not $F_\sigma$?

Proving that $U_{n}$ is dense.

Writing $\mathbb{R}$ as a countable union of nowhere dense sets.

Understanding why we take $g \in L^1[0,1]\setminus L^2[0,1]$ and $f \in B_n$, in a solution.

A subset of the second Baire category on the real line

A Banach space cannot be countable union of its proper subspaces

Understanding a proof about the density of continuous points of a point-wise limit function.

Ball in closed convex set (from proof of open mapping thm)

Proof using Baire’s Lemma

2nd category set which is 1st category on itself

Generalising 'if a sequence of continuous functions tend pointwise on $[0,1]$ to f then f has a point of continuity'

Isolated points and Baire category theorem

Non normality of the tangent disk topology using Baire Category Theorem

In any Baire space, is there a $G_\delta$ set of first category not nowhere dense?

Contradiction involving the Cantor Set and Baire Category Theorem

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