Question

A compact set $X$ is only locally conneted in on point but not locally connected in other points in $X$

score 38 · Answer 1 · 2021-09-12 01:05:03

38

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A compact set $X$ is only locally conneted in on point but not locally connected in other points in $X$

Published on 12 Sep 2021 - 1:05

score 49 · Answer 2 · 2021-10-06 07:21:32

49

Views

Proving/disproving a claim on the relationship between the kinds of connectedness (the usual, and path and local)

Published on 06 Oct 2021 - 7:21

score 74 · Answer 3 · 2022-01-13 02:00:41

74

Views

Locally connected for sub space topology of $\Bbb R^2$

Published on 13 Jan 2022 - 2:00

score 214 · Answer 4 · 2022-01-17 18:47:06

214

Views

Local connectedness is a topological property

Published on 17 Jan 2022 - 18:47

score 94 · Answer 5 · 2022-02-03 15:48:05

94

Views

Show that the n-sphere $\mathbb S^{n}$ is locally connected

Published on 03 Feb 2022 - 15:48

score 73 · Answer 6 · 2022-03-27 08:17:52

73

Views

Characterizing locally connected continua

Published on 27 Mar 2022 - 8:17

score 236 · Answer 7 · 2022-04-16 00:08:56

236

Views

Intuitively, what is the difference between a "simply connected" set and a "locally connected" set?

Published on 16 Apr 2022 - 0:08

score 72 · Answer 8 · 2022-04-17 00:49:14

72

Views

Counterexample of a disconnected topological space with open components but not locally connected

Published on 17 Apr 2022 - 0:49

score 368 · Answer 9 · 2022-07-02 20:52:56

368

Views

Connected set which is no-where path connected

Published on 02 Jul 2022 - 20:52

score 60 · Answer 10 · 2022-07-04 15:44:55

60

Views

Restriction of Covering Spaces to a component.

Published on 04 Jul 2022 - 15:44

score 96 · Answer 11 · 2022-07-28 18:52:17

96

Views

A weakly locally path connected space that is not locally path connected

Published on 28 Jul 2022 - 18:52

score 61 · Answer 12 · 2022-08-09 23:21:54

61

Views

Is intersection of refining locally connected topologies locally connected?

Published on 09 Aug 2022 - 23:21

score 70 · Answer 13 · 2022-08-10 08:47:34

70

Views

Is arbitrary intersection of locally connected topologies locally connected?

Published on 10 Aug 2022 - 8:47

score 28 · Answer 14 · 2022-09-14 14:30:30

28

Views

neighbourhood open basis for a connected set in $\mathbb C$

Published on 14 Sep 2022 - 14:30

score 101 · Answer 15 · 2022-09-16 14:10:09

101

Views

Let $X=\{(x,y) \in \Bbb R^2 \mid x = 0 \text{ or } x^2+y^2 \in \Bbb Q\} \subset \Bbb R^2$. Is $X$ connected? Is it locally-connected?

Published on 16 Sep 2022 - 14:10

List Question

A compact set $X$ is only locally conneted in on point but not locally connected in other points in $X$

Proving/disproving a claim on the relationship between the kinds of connectedness (the usual, and path and local)

Locally connected for sub space topology of $\Bbb R^2$

Local connectedness is a topological property

Show that the n-sphere $\mathbb S^{n}$ is locally connected

Characterizing locally connected continua

Intuitively, what is the difference between a "simply connected" set and a "locally connected" set?

Counterexample of a disconnected topological space with open components but not locally connected

Connected set which is no-where path connected

Restriction of Covering Spaces to a component.

A weakly locally path connected space that is not locally path connected

Is intersection of refining locally connected topologies locally connected?

Is arbitrary intersection of locally connected topologies locally connected?

neighbourhood open basis for a connected set in $\mathbb C$

Let $X=\{(x,y) \in \Bbb R^2 \mid x = 0 \text{ or } x^2+y^2 \in \Bbb Q\} \subset \Bbb R^2$. Is $X$ connected? Is it locally-connected?

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