List questions from path-connected

Published on 31 Oct 2021 - 19:26

202

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Fundamental Group of Polygons

Published on 02 Nov 2021 - 12:00

87

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Is $(\mathbb{R}^2, d)$ connected?

Published on 11 Nov 2021 - 13:33

73

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Is $S=\{(x,y,z)\in\Bbb R^3\mid x^2+y^2\ge z\}$ path-connected?

Published on 13 Nov 2021 - 21:16

40

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Unsure about justification : First fundamental form and rectangles

Published on 17 Nov 2021 - 12:05

91

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Are function spaces between CW complexes delta-generated?

Published on 29 Mar 2026 - 4:11

124

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Show that $A$ is not path-connected.

Published on 25 Nov 2021 - 1:09

31

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Study some topological properties of $I^{\aleph_0}\times I^2/M$

Published on 27 Nov 2021 - 10:08

78

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Shortest path with jumps (dynamic Bayesian network)?

Published on 26 Mar 2026 - 12:32

28

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Show that $M = \{(x,y) \in \mathbb{R}^p \times \mathbb{R}^q : \lvert x \rvert = \lvert y \rvert \neq 0 \}$ is connected for $p,q \geq 2$

Published on 04 Dec 2021 - 15:21

228

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Does it matter where we start on an Euler graph?

Published on 27 Mar 2026 - 0:02

119

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Prove that $X_1\cup X_2$ is path connected if and only if both $X_1$ and $X_2$ are path connected

Published on 16 Dec 2021 - 21:33

399

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Suppose that $X$ is Hausdorff. Show that $X$ is locally path connected.

Published on 16 Dec 2021 - 23:36

115

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Connected and disconnected space

Published on 19 Dec 2021 - 10:00

74

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Countable set with singleton is closed is not a pathwise connected

Published on 21 Dec 2021 - 19:04

List Question

Example of topological space that is connected, locally connected but not path connected

Fundamental Group of Polygons

Is $(\mathbb{R}^2, d)$ connected?

Is $S=\{(x,y,z)\in\Bbb R^3\mid x^2+y^2\ge z\}$ path-connected?

Unsure about justification : First fundamental form and rectangles

Are function spaces between CW complexes delta-generated?

Show that $A$ is not path-connected.

Study some topological properties of $I^{\aleph_0}\times I^2/M$

Shortest path with jumps (dynamic Bayesian network)?

Show that $M = \{(x,y) \in \mathbb{R}^p \times \mathbb{R}^q : \lvert x \rvert = \lvert y \rvert \neq 0 \}$ is connected for $p,q \geq 2$

Does it matter where we start on an Euler graph?

Prove that $X_1\cup X_2$ is path connected if and only if both $X_1$ and $X_2$ are path connected

Suppose that $X$ is Hausdorff. Show that $X$ is locally path connected.

Connected and disconnected space

Countable set with singleton is closed is not a pathwise connected

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