List questions from locally-connected

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$ \prod_{j \in J} X_{j} $ is locally connected if, and only if, each $ X_{j} $ is locally connected ...

Published on 26 Jan 2018 - 21:34

474

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Example of a topological space that is connected, not locally connected and not path connected

Published on 22 Feb 2026 - 21:01

38

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Connected neibourhood and path connected neibourhood

Published on 07 Mar 2018 - 4:04

205

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Local connectedness is preserved under retractions

Published on 01 Apr 2018 - 19:44

968

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Show that $CX$ is locally (path-)connected iff $X$ is

Published on 23 Jun 2018 - 18:14

266

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Existence of Connected Sets in Complements of Closed Sets

Published on 22 Feb 2026 - 19:52

398

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The subgraph induced by the neighbourhood of a vertex

Published on 13 Nov 2018 - 7:25

303

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About locally path-connected spaces

Published on 20 Dec 2018 - 22:39

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Is connected component open?

Published on 06 Mar 2019 - 1:59

396

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Example of a Connected Space which is not Locally Connected.

Published on 10 Apr 2019 - 19:21

121

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Why is Cantor space not locally connected? Confused about locally connected sites.

Published on 26 Apr 2019 - 15:20

154

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Locally connected and connected

Published on 29 Apr 2019 - 22:15

515

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Characteristic of a connected, locally compact, Hausdorff space X which is locally connected.

Published on 06 Jun 2019 - 18:29

2.1k

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Countable basis but uncountably many connected components

Published on 27 May 2014 - 12:12

11.1k

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Path-connected and locally connected space that is not locally path-connected

Published on 22 Jun 2014 - 4:21

List Question

$ \prod_{j \in J} X_{j} $ is locally connected if, and only if, each $ X_{j} $ is locally connected ...

Example of a topological space that is connected, not locally connected and not path connected

Connected neibourhood and path connected neibourhood

Local connectedness is preserved under retractions

Show that $CX$ is locally (path-)connected iff $X$ is

Existence of Connected Sets in Complements of Closed Sets

The subgraph induced by the neighbourhood of a vertex

About locally path-connected spaces

Is connected component open?

Example of a Connected Space which is not Locally Connected.

Why is Cantor space not locally connected? Confused about locally connected sites.

Locally connected and connected

Characteristic of a connected, locally compact, Hausdorff space X which is locally connected.

Countable basis but uncountably many connected components

Path-connected and locally connected space that is not locally path-connected

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