List questions from baire-category

Published on 27 Apr 2020 - 23:02

118

Views

Give an example of an infinite disjoint sequence of subsets of the real numbers, each of which is of second category in the real numbers.

Published on 28 Apr 2020 - 3:20

82

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Measure of the continuous image of a set

Published on 03 May 2020 - 21:06

1.1k

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'Amount' of nowhere-differentiable functions in $C([0,1])$?

Published on 13 May 2020 - 1:24

222

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Banach-Mazur game and the Baire property

Published on 23 Feb 2026 - 6:22

145

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Dense countable set in an infinite Baire and $T_1$ space has dense complement

Published on 27 May 2020 - 12:19

307

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Baire's theorem: category and density for complements of first category sets

Published on 06 Jun 2020 - 22:05

344

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Singleton in a complete metric space is a complete metric space, but has no interior point. Baire?

Published on 26 Mar 2026 - 17:35

238

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Which spaces have uncountable perfect sets?

Published on 26 Mar 2026 - 12:42

45

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Can an almost injective quotient map remove interior?

Published on 03 Jul 2020 - 14:06

72

Views

Theorem 2.9 Rudin functional analysis - Inferring exists $n$ such that $K \cap nE \neq \emptyset$

Published on 28 Mar 2026 - 9:50

120

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Set of discontinuity of a derivative.

Published on 18 Jul 2020 - 13:07

561

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proof verification: the set of irrational numbers is a dense subset of $\mathbb{R}$

Published on 29 Jul 2020 - 6:04

205

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Proving the Baire Category Theorem from scratch, Stuck!

Published on 19 Jul 2016 - 0:16

568

Views

Non empty interior in the image implies open map

Published on 26 Mar 2026 - 4:29

List Question

Baire Category Theorem and nowhere differentiable function

Give an example of an infinite disjoint sequence of subsets of the real numbers, each of which is of second category in the real numbers.

Measure of the continuous image of a set

'Amount' of nowhere-differentiable functions in $C([0,1])$?

Banach-Mazur game and the Baire property

Dense countable set in an infinite Baire and $T_1$ space has dense complement

Baire's theorem: category and density for complements of first category sets

Singleton in a complete metric space is a complete metric space, but has no interior point. Baire?

Which spaces have uncountable perfect sets?

Can an almost injective quotient map remove interior?

Theorem 2.9 Rudin functional analysis - Inferring exists $n$ such that $K \cap nE \neq \emptyset$

Set of discontinuity of a derivative.

proof verification: the set of irrational numbers is a dense subset of $\mathbb{R}$

Proving the Baire Category Theorem from scratch, Stuck!

Non empty interior in the image implies open map

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