List questions from baire-category

Published on 25 May 2018 - 16:53

247

Views

Two variants of proof for Baire's category theorem

Published on 04 Jun 2018 - 9:21

283

Views

Understanding a step in Baire Category Theorem

Published on 10 Jun 2018 - 19:05

862

Views

Countable Dense Set not a $G_{\delta}$ set? Where's the contradiction?

Published on 27 Jul 2018 - 19:33

675

Views

Show that a closed subset is first category.

Published on 29 Jul 2018 - 3:22

123

Views

Show that the set of $f\in L^{1}$ so that $f\notin L^{p}$ is residual.

Published on 30 Jul 2018 - 7:32

770

Views

$[0,1]$ is uncountable using Baire's Category Theorem

Published on 02 Aug 2018 - 3:53

437

Views

Negation of countable union of nowhere dense.

Published on 22 Aug 2018 - 8:46

1.7k

Views

Is a nowhere dense set closed?

Published on 25 Mar 2026 - 16:39

851

Views

Show that there is a continuous real function $h$ on $[0,1]$ such that $\lim \sup |\frac{h(x+t)-h(x)}{t}| = \infty$ for all $x \in [0,1)$

Published on 06 Sep 2018 - 5:58

105

Views

Zorn's Lemma in an Oxtoby's theorem

Published on 22 Sep 2018 - 2:20

169

Views

Are the two formulations of Baire category theorem equivalent for arbitrary metric spaces?

Published on 13 Oct 2018 - 16:12

68

Views

Why a set of second category minus (take away) a set of first category is of second category?

Published on 15 Oct 2018 - 18:45

69

Views

On Borel subsets of a topological space

Published on 25 Mar 2026 - 9:09

2.6k

Views

Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem

Published on 10 Nov 2018 - 20:53

List Question

Subspace $\ell^2$ is of first category

Two variants of proof for Baire's category theorem

Understanding a step in Baire Category Theorem

Countable Dense Set not a $G_{\delta}$ set? Where's the contradiction?

Show that a closed subset is first category.

Show that the set of $f\in L^{1}$ so that $f\notin L^{p}$ is residual.

$[0,1]$ is uncountable using Baire's Category Theorem

Negation of countable union of nowhere dense.

Is a nowhere dense set closed?

Show that there is a continuous real function $h$ on $[0,1]$ such that $\lim \sup |\frac{h(x+t)-h(x)}{t}| = \infty$ for all $x \in [0,1)$

Zorn's Lemma in an Oxtoby's theorem

Are the two formulations of Baire category theorem equivalent for arbitrary metric spaces?

Why a set of second category minus (take away) a set of first category is of second category?

On Borel subsets of a topological space

Proving that the set of continuous nowhere differentiable functions is dense using Baire's Category Theorem

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