Question

Logarithm of a complex function on a non-simply connected space

score 586 · Answer 1 · 2020-05-22 15:01:06

586

Views

Logarithm of a complex function on a non-simply connected space

Published on 22 May 2020 - 15:01

score 1.6k · Answer 2 · 2020-05-22 15:46:58

1.6k

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Connectedness of a subset of a connected set

Published on 22 May 2020 - 15:46

score 5.1k · Answer 3 · 2020-05-22 19:15:25

5.1k

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Definition of connected sets

Published on 22 May 2020 - 19:15

score 56 · Answer 4 · 2020-05-25 03:06:15

56

Views

Equivalence of locally connected?

Published on 25 May 2020 - 3:06

score 102 · Answer 5 · 2020-05-28 15:04:52

Let $X$ be connected and $f:X\to\mathbb{R}$ continuous s.t. each point $x\in X$ has a nbh $U$ with $f(x)=\min_{y\in U} f(y)$. Show $f$ is constant.

score 43 · Answer 6 · 2020-05-31 14:11:24

43

Views

Connectedness of the set $\{(z,w)\in S^3\subset \Bbb C^2:z^m+w^n=0\}$ where $m,n\in \Bbb N$

Published on 31 May 2020 - 14:11

score 63 · Answer 7 · 2026-02-23 04:52:13

63

Views

Connectedness and complexity in Polish spaces

Published on 23 Feb 2026 - 4:52

score 128 · Answer 8 · 2020-06-03 17:08:10

128

Views

connectedness of A={$(x,y):x \in \mathbb{Q}\,$ or$ \, y \in \mathbb{Q}$}

Published on 03 Jun 2020 - 17:08

score 36 · Answer 9 · 2020-06-03 20:43:36

36

Views

Connectedness of A={$(x,y):x \in \mathbb{I}\,$ or$ \, y \in \mathbb{I}$}

Published on 03 Jun 2020 - 20:43

score 59 · Answer 10 · 2020-06-04 17:01:24

59

Views

demonstrate that if X is a connected metric space, then X is chained.

Published on 04 Jun 2020 - 17:01

score 67 · Answer 11 · 2020-06-04 18:53:36

67

Views

Prove that $A=\{(x,y)\in\mathbb{R}:(y\neq 0)\vee (x>0)\}$ is connected.

Published on 04 Jun 2020 - 18:53

score 466 · Answer 12 · 2020-06-04 21:50:23

466

Views

Let $X$ be a subset of the real line. Then prove that $X$ is bounded and connected if and only if $X$ is a bounded interval.

Published on 04 Jun 2020 - 21:50

score 55 · Answer 13 · 2020-06-05 12:08:18

55

Views

Is "Darboux" homotopy trivial?

Published on 05 Jun 2020 - 12:08

score 159 · Answer 14 · 2020-06-06 09:51:48

159

Views

Prove a set is totally disconnected

Published on 06 Jun 2020 - 9:51

score 40 · Answer 15 · 2020-06-06 10:56:20

40

Views

Prove a set is connected and is a connected component

Published on 06 Jun 2020 - 10:56

List Question

Logarithm of a complex function on a non-simply connected space

Connectedness of a subset of a connected set

Definition of connected sets

Equivalence of locally connected?

Let $X$ be connected and $f:X\to\mathbb{R}$ continuous s.t. each point $x\in X$ has a nbh $U$ with $f(x)=\min_{y\in U} f(y)$. Show $f$ is constant.

Connectedness of the set $\{(z,w)\in S^3\subset \Bbb C^2:z^m+w^n=0\}$ where $m,n\in \Bbb N$

Connectedness and complexity in Polish spaces

connectedness of A={$(x,y):x \in \mathbb{Q}\,$ or$ \, y \in \mathbb{Q}$}

Connectedness of A={$(x,y):x \in \mathbb{I}\,$ or$ \, y \in \mathbb{I}$}

demonstrate that if X is a connected metric space, then X is chained.

Prove that $A=\{(x,y)\in\mathbb{R}:(y\neq 0)\vee (x>0)\}$ is connected.

Let $X$ be a subset of the real line. Then prove that $X$ is bounded and connected if and only if $X$ is a bounded interval.

Is "Darboux" homotopy trivial?

Prove a set is totally disconnected

Prove a set is connected and is a connected component

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