Question

Prove the mapping $(x,y)\mapsto x+y$ from $X \times X \to X$ is continuous when $X$ is given a weak topology.

score 311 · Answer 1 · 2018-12-11 22:09:08

311

Views

Prove the mapping $(x,y)\mapsto x+y$ from $X \times X \to X$ is continuous when $X$ is given a weak topology.

Published on 11 Dec 2018 - 22:09

score 423 · Answer 2 · 2026-03-25 05:03:02

423

Views

Can every locally compact Hausdorff space be recognized as a subspace of a cube that has an open underlying set?

Published on 25 Mar 2026 - 5:03

score 695 · Answer 3 · 2019-01-05 19:48:29

695

Views

What is {empty set} x something with the product topology?

Published on 05 Jan 2019 - 19:48

score 230 · Answer 4 · 2019-01-10 14:23:23

230

Views

Example of product topology where the index set is uncountable

Published on 10 Jan 2019 - 14:23

score 252 · Answer 5 · 2019-01-10 14:56:11

252

Views

Banach-Alaoglu theorem, Rudin's functional analysis.

Published on 10 Jan 2019 - 14:56

score 161 · Answer 6 · 2026-03-23 11:48:49

161

Views

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

Published on 23 Mar 2026 - 11:48

score 86 · Answer 7 · 2026-02-23 06:29:31

86

Views

Do separately semi-continuous functions have a dense set of semi-continuities?

Published on 23 Feb 2026 - 6:29

score 59 · Answer 8 · 2019-01-20 04:25:18

59

Views

Questions about Tychonoff spaces natural embedding.

Published on 20 Jan 2019 - 4:25

score 128 · Answer 9 · 2019-01-20 05:33:18

128

Views

Is $[0,1]^A$ not sequentially compact for any uncountable $A$?

Published on 20 Jan 2019 - 5:33

score 156 · Answer 10 · 2019-01-20 05:34:27

156

Views

Question regarding proof of Tychonoff's theorem

Published on 20 Jan 2019 - 5:34

score 26 · Answer 11 · 2019-01-20 18:10:02

26

Views

Proving there exists $V$ so that $\{x_0\}\times I\subset V\times I\subset U$

Published on 20 Jan 2019 - 18:10

score 337 · Answer 12 · 2019-01-26 13:41:27

337

Views

Product of a compact set and a singleton is compact proof

Published on 26 Jan 2019 - 13:41

score 164 · Answer 13 · 2019-01-27 01:15:36

164

Views

Product of a compact topological space and a singleton in another topological space is compact proof

Published on 27 Jan 2019 - 1:15

score 1.1k · Answer 14 · 2026-03-23 03:07:03

1.1k

Views

Does the box topology have a universal property?

Published on 23 Mar 2026 - 3:07

score 33 · Answer 15 · 2019-02-04 08:13:47

33

Views

Is $D$ closed in $\Bbb R^n$?

Published on 04 Feb 2019 - 8:13

List Question

Prove the mapping $(x,y)\mapsto x+y$ from $X \times X \to X$ is continuous when $X$ is given a weak topology.

Can every locally compact Hausdorff space be recognized as a subspace of a cube that has an open underlying set?

What is {empty set} x something with the product topology?

Example of product topology where the index set is uncountable

Banach-Alaoglu theorem, Rudin's functional analysis.

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

Do separately semi-continuous functions have a dense set of semi-continuities?

Questions about Tychonoff spaces natural embedding.

Is $[0,1]^A$ not sequentially compact for any uncountable $A$?

Question regarding proof of Tychonoff's theorem

Proving there exists $V$ so that $\{x_0\}\times I\subset V\times I\subset U$

Product of a compact set and a singleton is compact proof

Product of a compact topological space and a singleton in another topological space is compact proof

Does the box topology have a universal property?

Is $D$ closed in $\Bbb R^n$?

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