Question

Is $R^\omega$ in the box topology locally connected or locally path connected?

score 314 · Answer 1 · 2026-02-23 02:59:20

314

Views

Is $R^\omega$ in the box topology locally connected or locally path connected?

Published on 23 Feb 2026 - 2:59

score 406 · Answer 2 · 2020-11-05 23:04:04

406

Views

How to find a continuous path between matrices?

Published on 05 Nov 2020 - 23:04

score 38 · Answer 3 · 2020-11-06 08:49:41

38

Views

Is $\mathbb{R}^2-B$ path connected where $B = \{(x,y) : x^2+y^2=1 \} \cup \{(x,y) : (x-2)^2 +y^2 \le1 \}$

Published on 06 Nov 2020 - 8:49

score 143 · Answer 4 · 2020-11-12 01:54:40

143

Views

Are all elements of an abelian fundamental group path homotopic?

Published on 12 Nov 2020 - 1:54

score 85 · Answer 5 · 2020-11-13 17:01:04

85

Views

$\mathbb{R}^{n}-A$ is path-connected for any countable subset $A$ of $\mathbb{R}^{n}$

Published on 13 Nov 2020 - 17:01

score 275 · Answer 6 · 2026-03-28 15:21:23

275

Views

Are there non-Hausdorff spaces that satisfy the Galois correspondence for covering spaces?

Published on 28 Mar 2026 - 15:21

score 71 · Answer 7 · 2020-11-16 14:32:21

71

Views

Path-connected space

Published on 16 Nov 2020 - 14:32

score 126 · Answer 8 · 2020-11-18 15:54:27

126

Views

Path connected sets (How to intutively find which set is path connected before attempting a formal proof )

Published on 18 Nov 2020 - 15:54

score 51 · Answer 9 · 2020-11-23 12:46:40

51

Views

Let {$ X_i $: i $ \in $ I} be a family of topological spaces. Show that $ \prod_{i \in I} X_i $ is path-connected...

Published on 23 Nov 2020 - 12:46

score 42 · Answer 10 · 2020-11-25 22:22:02

42

Views

Possible paths between nodes

Published on 25 Nov 2020 - 22:22

score 105 · Answer 11 · 2026-03-26 16:08:45

105

Views

Terminology in graph theory [Directed graph]

Published on 26 Mar 2026 - 16:08

score 57 · Answer 12 · 2020-12-10 04:58:56

57

Views

If every path crosses a subset, then is the subset connected?

Published on 10 Dec 2020 - 4:58

score 166 · Answer 13 · 2020-12-13 06:53:42

166

Views

Proving that $G_0$ is a normal subgroup of $G.$

Published on 13 Dec 2020 - 6:53

score 611 · Answer 14 · 2020-12-19 05:20:37

611

Views

Continuous if and only if graph of every path connected subspace is path connected?

Published on 19 Dec 2020 - 5:20

score 357 · Answer 15 · 2020-12-20 23:20:16

357

Views

Every open connected set $S \subset \mathbb{R}^n$ is path-connected.

Published on 20 Dec 2020 - 23:20

List Question

Is $R^\omega$ in the box topology locally connected or locally path connected?

How to find a continuous path between matrices?

Is $\mathbb{R}^2-B$ path connected where $B = \{(x,y) : x^2+y^2=1 \} \cup \{(x,y) : (x-2)^2 +y^2 \le1 \}$

Are all elements of an abelian fundamental group path homotopic?

$\mathbb{R}^{n}-A$ is path-connected for any countable subset $A$ of $\mathbb{R}^{n}$

Are there non-Hausdorff spaces that satisfy the Galois correspondence for covering spaces?

Path-connected space

Path connected sets (How to intutively find which set is path connected before attempting a formal proof )

Let {$ X_i $: i $ \in $ I} be a family of topological spaces. Show that $ \prod_{i \in I} X_i $ is path-connected...

Possible paths between nodes

Terminology in graph theory [Directed graph]

If every path crosses a subset, then is the subset connected?

Proving that $G_0$ is a normal subgroup of $G.$

Continuous if and only if graph of every path connected subspace is path connected?

Every open connected set $S \subset \mathbb{R}^n$ is path-connected.

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