List questions from connectedness

Published on 24 May 2014 - 14:55

2.1k

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Countable basis but uncountably many connected components

Published on 22 Mar 2026 - 16:25

280

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If n > 1 and $B \subset \mathbb R^n$ countable. Then $\mathbb R^n - B$ is connected ( James Dugundji)

Published on 27 May 2014 - 14:17

832

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Finitely many connected components, prove interiors are also connected

Published on 28 May 2014 - 14:36

336

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Does $\pi_0$ commute with sequential colimits?

Published on 29 May 2014 - 5:57

407

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Connectedness of parts used in the Banach–Tarski paradox

Published on 25 Mar 2026 - 12:28

350

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Number of connected components of this complement

Published on 27 Mar 2026 - 17:51

356

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Hyperspace and connectedness

Published on 07 Jun 2014 - 8:22

179

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A locally connected metric space of first category

Published on 28 Mar 2026 - 10:16

131

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connectivity on graph

Published on 11 Jun 2014 - 23:09

68

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Connectedness of $\mathbb R$

Published on 18 Jun 2014 - 8:39

51

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Let $K_1(0) := \{x \in \mathbb{R}^2: \|x\|_2 < 1\}$ and $S := K_1(0) \setminus \mathbb{Q}^2$. Is M path connected?

Published on 21 Jun 2014 - 14:07

11.1k

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

Published on 23 Mar 2026 - 2:30

1.5k

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Arcwise connected but not connected?

Published on 22 Jun 2014 - 20:01

271

Views

Show that $Y$ is not path-connected

Published on 26 Mar 2026 - 20:38

List Question

Show that set is path connected?

Countable basis but uncountably many connected components

If n > 1 and $B \subset \mathbb R^n$ countable. Then $\mathbb R^n - B$ is connected ( James Dugundji)

Finitely many connected components, prove interiors are also connected

Does $\pi_0$ commute with sequential colimits?

Connectedness of parts used in the Banach–Tarski paradox

Number of connected components of this complement

Hyperspace and connectedness

A locally connected metric space of first category

connectivity on graph

Connectedness of $\mathbb R$

Let $K_1(0) := \{x \in \mathbb{R}^2: \|x\|_2 < 1\}$ and $S := K_1(0) \setminus \mathbb{Q}^2$. Is M path connected?

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

Arcwise connected but not connected?

Show that $Y$ is not path-connected

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