Question

Equivalence between two comeager sets related to free groups

score 59 · Answer 1 · 2026-03-27 23:01:55

59

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Equivalence between two comeager sets related to free groups

Published on 27 Mar 2026 - 23:01

score 2.1k · Answer 2 · 2016-03-06 16:36:18

2.1k

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Prove that $\mathbb{R}^2$ cannot be a subset of the union of a countable collection of lines in $\mathbb{R}^2$

Published on 06 Mar 2016 - 16:36

score 340 · Answer 3 · 2026-03-27 22:19:23

340

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Lebesgue null set with meagre complement

Published on 27 Mar 2026 - 22:19

score 171 · Answer 4 · 2016-03-12 16:21:58

171

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Is there a positive function $f$ on real line such that $f(x)f(y)\le|x-y|, \forall x\in \mathbb Q , \forall y \in \mathbb R \setminus \mathbb Q$?

Published on 12 Mar 2016 - 16:21

score 321 · Answer 5 · 2026-03-29 00:06:37

321

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Fourier series converges "almost everywhere"

Published on 29 Mar 2026 - 0:06

score 2.4k · Answer 6 · 2016-03-20 00:12:23

2.4k

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There exist meager subsets of $\mathbb{R}$ whose complements have Lebesgue measure zero

Published on 20 Mar 2016 - 0:12

score 352 · Answer 7 · 2016-03-20 18:12:25

352

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Real Analysis, Folland Problem 5.3.32 The Baire Category Theorem

Published on 20 Mar 2016 - 18:12

score 446 · Answer 8 · 2026-03-27 23:35:58

446

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an open continuous image of a Baire space is a Baire space

Published on 27 Mar 2026 - 23:35

score 123 · Answer 9 · 2026-03-28 05:23:10

123

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$X,Y$ metric spaces , $X$ complete , $Z$ is Hausdorff , $f,g:X \times Y \to Z$ continuous in each variable and coincide on a dense subset , is $f=g$?

Published on 28 Mar 2026 - 5:23

score 220 · Answer 10 · 2016-04-01 03:33:58

220

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Proving Banach space is finite in Baire space

Published on 01 Apr 2016 - 3:33

score 413 · Answer 11 · 2016-04-07 00:15:07

413

Views

Why if $p (x_1, \dots, x_n)$ is polynomial on $\mathbb{R}^n$, then $p (x) \neq 0$ is satisfied by open dense set?

Published on 07 Apr 2016 - 0:15

score 166 · Answer 12 · 2026-03-27 04:17:25

166

Views

How to construct free subgroup of SO(3) using Baire's Theorem?

Published on 27 Mar 2026 - 4:17

score 164 · Answer 13 · 2016-04-22 09:18:27

164

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Prove that there is no countable base to a complete normed space

Published on 22 Apr 2016 - 9:18

score 232 · Answer 14 · 2026-03-26 13:51:27

232

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Bartoszyński's results on measure and category and their importance

Published on 26 Mar 2026 - 13:51

score 1.5k · Answer 15 · 2026-03-26 02:55:47

1.5k

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What is the 'meaning' of nowhere dense set?

Published on 26 Mar 2026 - 2:55

List Question

Equivalence between two comeager sets related to free groups

Prove that $\mathbb{R}^2$ cannot be a subset of the union of a countable collection of lines in $\mathbb{R}^2$

Lebesgue null set with meagre complement

Is there a positive function $f$ on real line such that $f(x)f(y)\le|x-y|, \forall x\in \mathbb Q , \forall y \in \mathbb R \setminus \mathbb Q$?

Fourier series converges "almost everywhere"

There exist meager subsets of $\mathbb{R}$ whose complements have Lebesgue measure zero

Real Analysis, Folland Problem 5.3.32 The Baire Category Theorem

an open continuous image of a Baire space is a Baire space

$X,Y$ metric spaces , $X$ complete , $Z$ is Hausdorff , $f,g:X \times Y \to Z$ continuous in each variable and coincide on a dense subset , is $f=g$?

Proving Banach space is finite in Baire space

Why if $p (x_1, \dots, x_n)$ is polynomial on $\mathbb{R}^n$, then $p (x) \neq 0$ is satisfied by open dense set?

How to construct free subgroup of SO(3) using Baire's Theorem?

Prove that there is no countable base to a complete normed space

Bartoszyński's results on measure and category and their importance

What is the 'meaning' of nowhere dense set?

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