List questions from connectedness

Published on 14 Feb 2020 - 9:29

68

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Show that $V = \emptyset.$

Published on 14 Feb 2020 - 13:13

112

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Showing that $\mathbb{R}$ is connected knowing that the unit interval is connected.

Published on 14 Feb 2020 - 13:52

737

Views

Where is a non-empty open set connected iff path-connected?

Published on 23 Feb 2026 - 1:02

61

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Prove that $f(\mathbb{R}^2)=\mathbb{R}^2$

Published on 25 Mar 2026 - 14:03

63

Views

Existence of disjoint open sets $U$ and $V$ which are supersets of disjoint compact sets $A$ and $B$

Published on 17 Feb 2020 - 4:10

231

Views

Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $

Published on 23 Feb 2026 - 1:08

36

Views

connected components, property

Published on 17 Feb 2020 - 17:05

111

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removing points, connected component

Published on 27 Mar 2026 - 3:11

113

Views

What is the connected component of $(0,0)$ in the following metric space

Published on 20 Feb 2020 - 3:51

927

Views

Complex Lie groups

Published on 01 Apr 2026 - 1:01

613

Views

if $A\subset B\subset C$ prove B is connected if A,C are connected.

Published on 23 Feb 2020 - 23:40

58

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Is the space $Y=\{(a,b)\in\mathbb{R}^2:a+b\in \mathbb{Z}\}$ a connected space?

Published on 25 Feb 2020 - 1:06

138

Views

Is $\mathbb{Q}^{2}\cup \mathbb{I}^{2} $ connected?

Published on 26 Feb 2020 - 21:13

231

Views

Complex annulus without the real positive ray is simply connected.

Published on 28 Feb 2020 - 10:03

List Question

Show that there is a number $a \in (0,1]$ such that $U = [0,a) \bigcup W.$

Show that $V = \emptyset.$

Showing that $\mathbb{R}$ is connected knowing that the unit interval is connected.

Where is a non-empty open set connected iff path-connected?

Prove that $f(\mathbb{R}^2)=\mathbb{R}^2$

Existence of disjoint open sets $U$ and $V$ which are supersets of disjoint compact sets $A$ and $B$

Properties of space $X = T \cup \bigcup_{n=1}^{\infty} S_n \cup \{ (0,q) : q \in \mathbb Q \wedge q \in [0,1] \} $

connected components, property

removing points, connected component

What is the connected component of $(0,0)$ in the following metric space

Complex Lie groups

if $A\subset B\subset C$ prove B is connected if A,C are connected.

Is the space $Y=\{(a,b)\in\mathbb{R}^2:a+b\in \mathbb{Z}\}$ a connected space?

Is $\mathbb{Q}^{2}\cup \mathbb{I}^{2} $ connected?

Complex annulus without the real positive ray is simply connected.

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