List questions from path-connected

Published on 23 Feb 2026 - 1:05

66

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Connected Space with uncountably many path components

Published on 20 Jul 2023 - 16:37

104

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Let A be a countable set of $\mathbb{R}^n , n>1$. We claim that $\mathbb{R}^n-A$ is connected.

Published on 01 Aug 2023 - 5:56

98

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Show that $X$ is path-connected if $Y$ and $X/Y$ are path-connected for $Y \subset X$.

Published on 02 Aug 2023 - 0:44

120

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If a closed subset $C \subseteq \mathbb R^2$ is "fragilely"/“minimally” simple connected, must it be all of $\mathbb R^2$?

Published on 06 Aug 2023 - 21:17

71

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Homotopy along a path

Published on 11 Aug 2023 - 16:59

65

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Must injective path-connected maps/“path-Darboux” functions be continuous?

Published on 20 Aug 2023 - 3:57

142

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(Path) connected components of zero-sets of limiting functions.

Published on 21 Aug 2023 - 22:39

65

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Is this subspace of $\mathbb{R}^2$ connected? arcwise connected?

Published on 29 Aug 2023 - 10:00

49

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What are the elements of $\Pi_0$ on a topological spaces?

Published on 11 Sep 2023 - 2:32

78

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Does path connectedness simplify the proof of the LES in reduced homology?

Published on 22 Sep 2023 - 17:30

82

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Equivalence relationship defined over membership of a in halo of b. (Non-Standard Analysis, Monads, Halos)

Published on 25 Mar 2026 - 23:13

26

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Functions with equal gradient and path-connected open domain

Published on 04 Oct 2023 - 11:13

220

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Dugundji: cofinite topology on countable infinite set is totally path-disconnected

Published on 15 Oct 2023 - 20:24

230

Views

Algorithm for finding a Hamiltonian path in a DAG

Published on 13 Oct 2023 - 9:02

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Quotient of R by irrationals with same absolute value

Connected Space with uncountably many path components

Let A be a countable set of $\mathbb{R}^n , n>1$. We claim that $\mathbb{R}^n-A$ is connected.

Show that $X$ is path-connected if $Y$ and $X/Y$ are path-connected for $Y \subset X$.

If a closed subset $C \subseteq \mathbb R^2$ is "fragilely"/“minimally” simple connected, must it be all of $\mathbb R^2$?

Homotopy along a path

Must injective path-connected maps/“path-Darboux” functions be continuous?

(Path) connected components of zero-sets of limiting functions.

Is this subspace of $\mathbb{R}^2$ connected? arcwise connected?

What are the elements of $\Pi_0$ on a topological spaces?

Does path connectedness simplify the proof of the LES in reduced homology?

Equivalence relationship defined over membership of a in halo of b. (Non-Standard Analysis, Monads, Halos)

Functions with equal gradient and path-connected open domain

Dugundji: cofinite topology on countable infinite set is totally path-disconnected

Algorithm for finding a Hamiltonian path in a DAG

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