Question

Is totally separated space equivalent to null dimensional and $T_0$?

score 42 · Answer 1 · 2026-03-25 17:36:43

42

Views

Is totally separated space equivalent to null dimensional and $T_0$?

Published on 25 Mar 2026 - 17:36

score 144 · Answer 2 · 2019-12-14 16:32:21

144

Views

Is there exist a metric $d$ on every infinite set such that $(X,d)$ be connected space?

Published on 14 Dec 2019 - 16:32

score 82 · Answer 3 · 2026-03-27 05:59:34

82

Views

Is E necessarily connected if $p: E \to B$ is a finite covering map and $B$ is connected and semi locally simply connected?

Published on 27 Mar 2026 - 5:59

score 140 · Answer 4 · 2026-03-25 19:00:33

140

Views

Counterexamples regarding Totally Separated spaces

Published on 25 Mar 2026 - 19:00

score 1.1k · Answer 5 · 2026-03-26 22:14:12

1.1k

Views

Path components of Topologist's Sine Curve

Published on 26 Mar 2026 - 22:14

score 166 · Answer 6 · 2026-03-26 10:56:20

166

Views

Proving Set is Connected and Complete

Published on 26 Mar 2026 - 10:56

score 106 · Answer 7 · 2026-03-25 08:09:43

106

Views

How to find topological properties of pre-image groups of a piecewise continuous function?

Published on 25 Mar 2026 - 8:09

score 178 · Answer 8 · 2019-12-19 15:58:20

178

Views

Continuous Image of a Connected set

Published on 19 Dec 2019 - 15:58

score 340 · Answer 9 · 2026-03-25 19:05:44

340

Views

Are $(0,1) \times [0,1)$ and $[0,1) \times [0,1)$ homeomorphic?

Published on 25 Mar 2026 - 19:05

score 59 · Answer 10 · 2019-12-30 03:47:04

59

Views

A totally disconnected non-metrizable space in which every open set is $F_{\sigma}$?

Published on 30 Dec 2019 - 3:47

score 290 · Answer 11 · 2026-03-27 00:04:13

290

Views

Proposition 1.16 in Lee's Introduction to Smooth Manifolds

Published on 27 Mar 2026 - 0:04

score 64 · Answer 12 · 2026-03-31 10:47:30

64

Views

Why -since this set is also closed in $E$, and $E$ is connected, it follows that it must be all of $E$-?

Published on 31 Mar 2026 - 10:47

score 125 · Answer 13 · 2020-01-04 10:15:45

125

Views

Topology of two letters: showing that two letters are homeomorphic (or not)

Published on 04 Jan 2020 - 10:15

score 471 · Answer 14 · 2026-03-28 05:22:33

471

Views

Explanation of Brouwer fixed point theorem in one dimension.

Published on 28 Mar 2026 - 5:22

score 38 · Answer 15 · 2020-01-08 20:17:15

38

Views

Nested Sequence of Connected Subspaces

Published on 08 Jan 2020 - 20:17

List Question

Is totally separated space equivalent to null dimensional and $T_0$?

Is there exist a metric $d$ on every infinite set such that $(X,d)$ be connected space?

Is E necessarily connected if $p: E \to B$ is a finite covering map and $B$ is connected and semi locally simply connected?

Counterexamples regarding Totally Separated spaces

Path components of Topologist's Sine Curve

Proving Set is Connected and Complete

How to find topological properties of pre-image groups of a piecewise continuous function?

Continuous Image of a Connected set

Are $(0,1) \times [0,1)$ and $[0,1) \times [0,1)$ homeomorphic?

A totally disconnected non-metrizable space in which every open set is $F_{\sigma}$?

Proposition 1.16 in Lee's Introduction to Smooth Manifolds

Why -since this set is also closed in $E$, and $E$ is connected, it follows that it must be all of $E$-?

Topology of two letters: showing that two letters are homeomorphic (or not)

Explanation of Brouwer fixed point theorem in one dimension.

Nested Sequence of Connected Subspaces

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