Question

Is every completely regular topology induced by some proximity?

score 42 · Answer 1 · 2026-04-09 04:17:51

42

Views

Is every completely regular topology induced by some proximity?

Published on 09 Apr 2026 - 4:17

score 71 · Answer 2 · 2026-04-15 10:50:59

71

Views

Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

Published on 15 Apr 2026 - 10:50

score 59 · Answer 3 · 2026-04-12 13:20:07

59

Views

What separation axiom is necessary for existence of neighborhood which closure is a subset of another given neighborhood

Published on 12 Apr 2026 - 13:20

score 93 · Answer 4 · 2026-04-13 07:10:55

93

Views

Is every completely regular topology induced by some topological vector space?

Published on 13 Apr 2026 - 7:10

score 68 · Answer 5 · 2026-04-15 13:29:12

68

Views

$X$ $T_3$ and $f:X\rightarrow Y$ cont. open and closed $\Longrightarrow$ $f(X)$ Hausdorff

Published on 15 Apr 2026 - 13:29

score 39 · Answer 6 · 2026-04-13 14:51:03

39

Views

Can we prove the theorem without injectivity of $f$?

Published on 13 Apr 2026 - 14:51

score 312 · Answer 7 · 2026-04-16 13:10:48

312

Views

Bourbaki General Topology I: Exercise 20, sec. 8 ch.1

Published on 16 Apr 2026 - 13:10

score 208 · Answer 8 · 2026-04-14 21:04:57

208

Views

Singletons closed in infinite T1 Product Topology?

Published on 14 Apr 2026 - 21:04

score 286 · Answer 9 · 2026-04-14 13:30:27

286

Views

Example of a locally compact + Hausdorff + ¬normal + connected space

Published on 14 Apr 2026 - 13:30

score 339 · Answer 10 · 2026-05-05 10:59:29

339

Views

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

Published on 05 May 2026 - 10:59

score 276 · Answer 11 · 2026-04-16 06:50:36

276

Views

On exercise 14H from Willard's 'General Topology' book

Published on 16 Apr 2026 - 6:50

score 579 · Answer 12 · 2026-04-15 17:36:29

579

Views

$(X,\mathscr T)$ is normal and each closed subsets of $X$ is a $G_{\delta}$ set.Then, $(X,\mathscr T)$ perfectly normal.

Published on 15 Apr 2026 - 17:36

score 250 · Answer 13 · 2026-04-13 22:04:45

250

Views

Showing $\mathbb{N}$ with the topology generated from arithmetic progression is $T_2$ but not $T_3$

Published on 13 Apr 2026 - 22:04

score 276 · Answer 14 · 2026-04-12 00:41:41

276

Views

Equivalence of $T_1$ axiom definition

Published on 12 Apr 2026 - 0:41

score 898 · Answer 15 · 2026-04-14 13:39:47

898

Views

Inverse image of singleton sets under continuous map between compact Hausdorff topological spaces

Published on 14 Apr 2026 - 13:39

List Question

Is every completely regular topology induced by some proximity?

Another equivalent condition for being $T_1$−space $(X,\mathscr T)$ is normal.

What separation axiom is necessary for existence of neighborhood which closure is a subset of another given neighborhood

Is every completely regular topology induced by some topological vector space?

$X$ $T_3$ and $f:X\rightarrow Y$ cont. open and closed $\Longrightarrow$ $f(X)$ Hausdorff

Can we prove the theorem without injectivity of $f$?

Bourbaki General Topology I: Exercise 20, sec. 8 ch.1

Singletons closed in infinite T1 Product Topology?

Example of a locally compact + Hausdorff + ¬normal + connected space

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

On exercise 14H from Willard's 'General Topology' book

$(X,\mathscr T)$ is normal and each closed subsets of $X$ is a $G_{\delta}$ set.Then, $(X,\mathscr T)$ perfectly normal.

Showing $\mathbb{N}$ with the topology generated from arithmetic progression is $T_2$ but not $T_3$

Equivalence of $T_1$ axiom definition

Inverse image of singleton sets under continuous map between compact Hausdorff topological spaces

Trending Questions

Popular # Hahtags

Popular Questions