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 315 · Answer 1 · 2026-05-10 15:17:07

315

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 10 May 2026 - 15:17

score 425 · Answer 2 · 2026-04-12 08:54:30

425

Views

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

Published on 12 Apr 2026 - 8:54

score 700 · Answer 3 · 2026-04-17 08:31:12

700

Views

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

Published on 17 Apr 2026 - 8:31

score 233 · Answer 4 · 2026-04-13 18:08:24

233

Views

Example of product topology where the index set is uncountable

Published on 13 Apr 2026 - 18:08

score 255 · Answer 5 · 2026-04-09 04:19:46

255

Views

Banach-Alaoglu theorem, Rudin's functional analysis.

Published on 09 Apr 2026 - 4:19

score 169 · Answer 6 · 2026-05-05 09:35:08

169

Views

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

Published on 05 May 2026 - 9:35

score 87 · Answer 7 · 2026-04-09 09:32:04

87

Views

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

Published on 09 Apr 2026 - 9:32

score 62 · Answer 8 · 2026-04-11 09:22:43

62

Views

Questions about Tychonoff spaces natural embedding.

Published on 11 Apr 2026 - 9:22

score 131 · Answer 9 · 2026-04-11 21:36:00

131

Views

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

Published on 11 Apr 2026 - 21:36

score 159 · Answer 10 · 2026-04-11 17:46:30

159

Views

Question regarding proof of Tychonoff's theorem

Published on 11 Apr 2026 - 17:46

score 29 · Answer 11 · 2026-04-15 08:53:14

29

Views

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

Published on 15 Apr 2026 - 8:53

score 340 · Answer 12 · 2026-04-13 13:13:06

340

Views

Product of a compact set and a singleton is compact proof

Published on 13 Apr 2026 - 13:13

score 167 · Answer 13 · 2026-04-14 14:28:07

167

Views

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

Published on 14 Apr 2026 - 14:28

score 1.1k · Answer 14 · 2026-05-05 02:28:06

1.1k

Views

Does the box topology have a universal property?

Published on 05 May 2026 - 2:28

score 37 · Answer 15 · 2026-04-12 20:07:57

37

Views

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

Published on 12 Apr 2026 - 20:07

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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