Question

Is there an uncountable collection of pairwise disjoint second category subsets of Cantor space?

score 210 · Answer 1 · 2026-03-22 22:40:11

210

Views

Is there an uncountable collection of pairwise disjoint second category subsets of Cantor space?

Published on 22 Mar 2026 - 22:40

score 87 · Answer 2 · 2026-03-23 08:50:09

87

Views

What is the Baire characteristic of the real number line?

Published on 23 Mar 2026 - 8:50

score 57 · Answer 3 · 2026-03-22 04:05:25

57

Views

Uniqueness in Baire property representation for compact Hausdorff spaces

Published on 22 Mar 2026 - 4:05

score 553 · Answer 4 · 2026-03-22 17:56:10

553

Views

On the notion of Cech-complete

Published on 22 Mar 2026 - 17:56

score 159 · Answer 5 · 2026-03-22 15:20:42

159

Views

Applications of Baire Category Theorem to Connected Sets

Published on 22 Mar 2026 - 15:20

score 81 · Answer 6 · 2026-03-22 19:41:43

81

Views

If $f \in C^\infty (\mathbb{R})$ such that $f^{(n)}=0$ for some $n$, then $f$ is a polynomial?

Published on 22 Mar 2026 - 19:41

score 90 · Answer 7 · 2026-03-23 05:05:07

90

Views

A question on the proof of the Baire Category theorem

Published on 23 Mar 2026 - 5:05

score 198 · Answer 8 · 2026-03-22 20:30:36

198

Views

Proof of Uniform boundedness principle (why are the sets closed)

Published on 22 Mar 2026 - 20:30

score 586 · Answer 9 · 2026-03-22 22:29:54

586

Views

Measure of complement of union of nowhere dense set with positive measure

Published on 22 Mar 2026 - 22:29

score 225 · Answer 10 · 2026-03-20 08:17:51

225

Views

A Cech-complete subspace is a $G_\delta$ in its closure

Published on 20 Mar 2026 - 8:17

score 1.3k · Answer 11 · 2026-03-25 05:10:05

1.3k

Views

Space of $L^p$ functions not in $L^q$ for all $q\neq p$

Published on 25 Mar 2026 - 5:10

score 138 · Answer 12 · 2026-03-25 10:22:28

138

Views

On the classic exercise "$f\in C^\infty(\mathbb{R})$ s.t. $\forall x \exists n\in\mathbb{N}: f^{(n)}(x)=0$ implies $f$ is a polynomial"

Published on 25 Mar 2026 - 10:22

score 449 · Answer 13 · 2026-03-17 09:34:06

449

Views

Baire category theorem and lower semicontinuous functions

Published on 17 Mar 2026 - 9:34

score 79 · Answer 14 · 2026-03-25 09:09:15

79

Views

Baire Category and Decimal Expansion

Published on 25 Mar 2026 - 9:09

score 134 · Answer 15 · 2026-03-17 15:25:59

134

Views

Baire category and the existence of very continuous functions

Published on 17 Mar 2026 - 15:25

List Question

Is there an uncountable collection of pairwise disjoint second category subsets of Cantor space?

What is the Baire characteristic of the real number line?

Uniqueness in Baire property representation for compact Hausdorff spaces

On the notion of Cech-complete

Applications of Baire Category Theorem to Connected Sets

If $f \in C^\infty (\mathbb{R})$ such that $f^{(n)}=0$ for some $n$, then $f$ is a polynomial?

A question on the proof of the Baire Category theorem

Proof of Uniform boundedness principle (why are the sets closed)

Measure of complement of union of nowhere dense set with positive measure

A Cech-complete subspace is a $G_\delta$ in its closure

Space of $L^p$ functions not in $L^q$ for all $q\neq p$

On the classic exercise "$f\in C^\infty(\mathbb{R})$ s.t. $\forall x \exists n\in\mathbb{N}: f^{(n)}(x)=0$ implies $f$ is a polynomial"

Baire category theorem and lower semicontinuous functions

Baire Category and Decimal Expansion

Baire category and the existence of very continuous functions

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