Question

Box topology defines a topological vector space?

score 143 · Answer 1 · 2026-02-22 19:30:07

143

Views

Box topology defines a topological vector space?

Published on 22 Feb 2026 - 19:30

score 120 · Answer 2 · 2018-03-06 01:06:45

120

Views

Space of Sequences with Finitely Many Nonzero Terms is Paracompact

Published on 06 Mar 2018 - 1:06

score 216 · Answer 3 · 2018-06-12 15:26:02

216

Views

Closures and interiors of real sequences

Published on 12 Jun 2018 - 15:26

score 69 · Answer 4 · 2018-10-16 08:25:51

69

Views

Is the sequence of real number that are $0$ from some point Sense in the box or product topologies

Published on 16 Oct 2018 - 8:25

score 365 · Answer 5 · 2018-12-14 12:39:47

365

Views

Is $\mathbb{R}^\omega$ endowed with the box topology completely normal (or hereditarily normal)?

Published on 14 Dec 2018 - 12:39

score 153 · Answer 6 · 2019-01-16 20:40:34

153

Views

Proving $(-1,1)^{\mathbb{N}}$ is not open in the product topology of $\mathbb{R}^{\mathbb{N}}$

Published on 16 Jan 2019 - 20:40

score 1.1k · Answer 7 · 2019-02-01 04:18:43

1.1k

Views

Does the box topology have a universal property?

Published on 01 Feb 2019 - 4:18

score 340 · Answer 8 · 2019-03-09 11:46:07

340

Views

Nontrivial example of continuous function from $\mathbb R\to\mathbb R^{\omega}$ with box topology on $\mathbb R^{\omega}$

Published on 09 Mar 2019 - 11:46

score 324 · Answer 9 · 2019-03-13 09:54:58

324

Views

Is $\mathbb R^J$ normal in the box topology when $J$ is uncountable?

Published on 13 Mar 2019 - 9:54

score 416 · Answer 10 · 2019-07-08 19:25:58

416

Views

Which properties does the box topology conserve?

Published on 08 Jul 2019 - 19:25

score 725 · Answer 11 · 2019-09-28 17:27:09

725

Views

Net convergence over product and box topology

Published on 28 Sep 2019 - 17:27

score 27.5k · Answer 12 · 2014-07-19 09:23:07

27.5k

Views

Why are box topology and product topology different on infinite products of topological spaces?

Published on 19 Jul 2014 - 9:23

score 253 · Answer 13 · 2014-09-18 03:52:42

253

Views

Question about pointwise convergence of sequences in the box and product topologies.

Published on 18 Sep 2014 - 3:52

score 333 · Answer 14 · 2019-10-15 18:43:38

333

Views

Box topology and a non-continuous function

Published on 15 Oct 2019 - 18:43

score 171 · Answer 15 · 2020-04-08 09:13:10

171

Views

What's the interior of $R^{\infty}$ in the $R^{\omega}$ with the box topology and the production topology?

Published on 08 Apr 2020 - 9:13

List Question

Box topology defines a topological vector space?

Space of Sequences with Finitely Many Nonzero Terms is Paracompact

Closures and interiors of real sequences

Is the sequence of real number that are $0$ from some point Sense in the box or product topologies

Is $\mathbb{R}^\omega$ endowed with the box topology completely normal (or hereditarily normal)?

Proving $(-1,1)^{\mathbb{N}}$ is not open in the product topology of $\mathbb{R}^{\mathbb{N}}$

Does the box topology have a universal property?

Nontrivial example of continuous function from $\mathbb R\to\mathbb R^{\omega}$ with box topology on $\mathbb R^{\omega}$

Is $\mathbb R^J$ normal in the box topology when $J$ is uncountable?

Which properties does the box topology conserve?

Net convergence over product and box topology

Why are box topology and product topology different on infinite products of topological spaces?

Question about pointwise convergence of sequences in the box and product topologies.

Box topology and a non-continuous function

What's the interior of $R^{\infty}$ in the $R^{\omega}$ with the box topology and the production topology?

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