Question

Proof verification: in a locally connected space, quasicomponents and components coincide.

score 192 · Answer 1 · 2019-10-10 22:53:12

192

Views

Proof verification: in a locally connected space, quasicomponents and components coincide.

Published on 10 Oct 2019 - 22:53

score 181 · Answer 2 · 2019-11-22 14:20:32

181

Views

Simply connected neighbourhood of a simply connected, locally path connected, closed set

Published on 22 Nov 2019 - 14:20

score 736 · Answer 3 · 2020-02-15 17:00:33

736

Views

Where is a non-empty open set connected iff path-connected?

Published on 15 Feb 2020 - 17:00

score 230 · Answer 4 · 2020-02-17 13:34:51

230

Views

Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $

Published on 17 Feb 2020 - 13:34

score 80 · Answer 5 · 2020-03-14 20:43:02

80

Views

Locally connectedness: definition

Published on 14 Mar 2020 - 20:43

score 72 · Answer 6 · 2020-03-29 09:49:59

72

Views

Local properties of a topological space can be phrased in terms of local base

Published on 29 Mar 2020 - 9:49

score 24 · Answer 7 · 2020-04-06 00:10:40

24

Views

Local (Path) Connectednes of N with a specific topology.

Published on 06 Apr 2020 - 0:10

score 46 · Answer 8 · 2020-04-08 16:52:02

46

Views

Locally connected but not connected and not locally path connected space

Published on 08 Apr 2020 - 16:52

score 298 · Answer 9 · 2020-04-13 19:33:34

298

Views

Why is there no "weakly version" of locally path-connectedness?

Published on 13 Apr 2020 - 19:33

score 56 · Answer 10 · 2020-04-26 00:19:02

56

Views

In which of the three topologies is X locally connected?

Published on 26 Apr 2020 - 0:19

score 81 · Answer 11 · 2020-06-22 07:41:26

81

Views

Hausdorff and locally compact

Published on 22 Jun 2020 - 7:41

score 117 · Answer 12 · 2020-06-23 02:06:08

117

Views

Space which is path connected but not locally path connected

Published on 23 Jun 2020 - 2:06

score 515 · Answer 13 · 2017-03-18 08:26:05

515

Views

Is the property of local connectedness or local path-connectedness invariant under homotopy equivalence?

Published on 18 Mar 2017 - 8:26

score 55 · Answer 14 · 2023-04-17 17:40:45

55

Views

Potential errata found: show the non locally connected points of a metric space form a discrete space, under a given new metric

Published on 17 Apr 2023 - 17:40

score 80 · Answer 15 · 2023-07-05 20:51:24

80

Views

Quotient of R by irrationals with same absolute value

Published on 05 Jul 2023 - 20:51

List Question

Proof verification: in a locally connected space, quasicomponents and components coincide.

Simply connected neighbourhood of a simply connected, locally path connected, closed set

Where is a non-empty open set connected iff path-connected?

Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $

Locally connectedness: definition

Local properties of a topological space can be phrased in terms of local base

Local (Path) Connectednes of N with a specific topology.

Locally connected but not connected and not locally path connected space

Why is there no "weakly version" of locally path-connectedness?

In which of the three topologies is X locally connected?

Hausdorff and locally compact

Space which is path connected but not locally path connected

Is the property of local connectedness or local path-connectedness invariant under homotopy equivalence?

Potential errata found: show the non locally connected points of a metric space form a discrete space, under a given new metric

Quotient of R by irrationals with same absolute value

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