List questions from connectedness

Published on 26 May 2019 - 7:21

310

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Is $X = [0,1] \bigcup [2,3]$ connected?

Published on 26 May 2019 - 15:30

206

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Boundaries of connected components

Published on 26 May 2019 - 17:52

430

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When is a union of connected sets connected?

Published on 27 May 2019 - 17:19

562

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In a topology, can one always choose a connected neighborhood of a point?

Published on 29 May 2019 - 5:53

93

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If union is disconnected and open then the sets are open

Published on 29 May 2019 - 13:26

896

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If a fiber bundle with a connected total space admits a section, is the fiber connected?

Published on 25 Mar 2026 - 20:41

985

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dimension of a connected Manifold

Published on 31 May 2019 - 7:05

335

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Random graph connectivity with different probability for each edge

Published on 26 Mar 2026 - 3:05

150

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Exercise of spaces path connected

Published on 26 Mar 2026 - 14:33

79

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If $\dim X=\infty$, can there be a compact $C$ such that $X\setminus C$ has two components?

Published on 04 Jun 2019 - 15:40

121

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Sets $A, B$ disjoint $\implies \overline{A} \cap B = A \cap \overline{B} = \emptyset$?

Published on 04 Jun 2019 - 23:15

522

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

Published on 23 Mar 2026 - 3:03

69

Views

Question about closed sets and connectedness

Published on 10 Jun 2019 - 4:51

114

Views

Is it possible that there is a connected topological space without path-connected subspace?

Published on 26 Mar 2026 - 19:07

List Question

If $f$ is continuous, then $G$ is connected . True/false?

Is $X = [0,1] \bigcup [2,3]$ connected?

Boundaries of connected components

When is a union of connected sets connected?

In a topology, can one always choose a connected neighborhood of a point?

If union is disconnected and open then the sets are open

If a fiber bundle with a connected total space admits a section, is the fiber connected?

dimension of a connected Manifold

Random graph connectivity with different probability for each edge

Exercise of spaces path connected

If $\dim X=\infty$, can there be a compact $C$ such that $X\setminus C$ has two components?

Sets $A, B$ disjoint $\implies \overline{A} \cap B = A \cap \overline{B} = \emptyset$?

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

Question about closed sets and connectedness

Is it possible that there is a connected topological space without path-connected subspace?

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