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 121 · Answer 2 · 2026-02-22 21:30:33

121

Views

Space of Sequences with Finitely Many Nonzero Terms is Paracompact

Published on 22 Feb 2026 - 21:30

score 217 · Answer 3 · 2026-02-22 21:29:39

217

Views

Closures and interiors of real sequences

Published on 22 Feb 2026 - 21:29

score 70 · Answer 4 · 2026-02-22 21:31:45

70

Views

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

Published on 22 Feb 2026 - 21:31

score 366 · Answer 5 · 2026-02-22 21:30:31

366

Views

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

Published on 22 Feb 2026 - 21:30

score 154 · Answer 6 · 2026-02-22 21:31:55

154

Views

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

Published on 22 Feb 2026 - 21:31

score 1.1k · Answer 7 · 2026-02-22 21:28:14

1.1k

Views

Does the box topology have a universal property?

Published on 22 Feb 2026 - 21:28

score 341 · Answer 8 · 2026-02-22 21:30:50

341

Views

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

Published on 22 Feb 2026 - 21:30

score 325 · Answer 9 · 2026-02-22 21:29:39

325

Views

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

Published on 22 Feb 2026 - 21:29

score 417 · Answer 10 · 2026-02-22 21:27:58

417

Views

Which properties does the box topology conserve?

Published on 22 Feb 2026 - 21:27

score 726 · Answer 11 · 2026-02-22 21:28:53

726

Views

Net convergence over product and box topology

Published on 22 Feb 2026 - 21:28

score 27.5k · Answer 12 · 2026-02-22 23:12:15

27.5k

Views

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

Published on 22 Feb 2026 - 23:12

score 254 · Answer 13 · 2026-02-22 23:10:48

254

Views

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

Published on 22 Feb 2026 - 23:10

score 334 · Answer 14 · 2026-02-22 23:04:29

334

Views

Box topology and a non-continuous function

Published on 22 Feb 2026 - 23:04

score 172 · Answer 15 · 2026-02-22 23:12:31

172

Views

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

Published on 22 Feb 2026 - 23:12

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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