Question

Example of a convex set that exist in a space that does not carry a topology.

score 26 · Answer 1 · 2026-04-16 06:51:53

26

Views

Example of a convex set that exist in a space that does not carry a topology.

Published on 16 Apr 2026 - 6:51

score 85 · Answer 2 · 2026-04-15 13:23:44

85

Views

If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Published on 15 Apr 2026 - 13:23

score 101 · Answer 3 · 2026-04-10 01:54:45

101

Views

Alternative solution to a problem involving an enumeration of rationals

Published on 10 Apr 2026 - 1:54

score 172 · Answer 4 · 2026-04-15 23:06:59

172

Views

How to construct examples of maps that are open or closed or continuous but not the others?

Published on 15 Apr 2026 - 23:06

score 184 · Answer 5 · 2026-05-10 23:14:18

184

Views

Separating points in a compact Hausdorff space.

Published on 10 May 2026 - 23:14

score 230 · Answer 6 · 2026-04-15 07:42:25

230

Views

Inverse function of a product space

Published on 15 Apr 2026 - 7:42

score 1.2k · Answer 7 · 2026-04-12 12:24:51

1.2k

Views

A function $f:\mathbb{R}^2\to\mathbb{R}^2$ that is open and closed, but not continuous.

Published on 12 Apr 2026 - 12:24

score 217 · Answer 8 · 2026-05-10 19:12:11

217

Views

Question regarding measurable set, Hausdorff-Space and almost everywhere properties of measurable functions f,g

Published on 10 May 2026 - 19:12

score 1k · Answer 9 · 2026-04-16 16:01:14

1k

Views

In which of the following cases is there no continuous function from the set $S$ onto the set $T$?

Published on 16 Apr 2026 - 16:01

score 88 · Answer 10 · 2026-04-13 07:26:54

88

Views

When is a subspace of a Scott space itself a Scott space?

Published on 13 Apr 2026 - 7:26

score 55 · Answer 11 · 2026-05-11 09:34:02

55

Views

$d(0,\alpha x+\beta y) \leq |\alpha|d(0,x)+|\beta|d(0,y);\ |\alpha|+|\beta|\leq 1$

Published on 11 May 2026 - 9:34

score 917 · Answer 12 · 2026-04-12 09:46:38

917

Views

How to prove the set of all symmetric matrices with eigenvalues in $(0,2)$ is connected?

Published on 12 Apr 2026 - 9:46

score 304 · Answer 13 · 2026-04-14 14:45:11

304

Views

proving property ( and Brouwer's fixed point theorem)

Published on 14 Apr 2026 - 14:45

score 54 · Answer 14 · 2026-05-10 16:31:07

54

Views

Explain the statemets related to separable spaces.

Published on 10 May 2026 - 16:31

score 87 · Answer 15 · 2026-04-17 14:19:00

87

Views

It is true that $\overline{(0,\epsilon)\cup(\mathbb Q\cap(\epsilon,1))}=[0,1]$ for $\epsilon\in(0,1)$?

Published on 17 Apr 2026 - 14:19

List Question

Example of a convex set that exist in a space that does not carry a topology.

If $f: I \to X$ is a path and $c: I \to X$ the constant path $c(s)=f(1)$, how is $f \cdot c$ a reparametrization of $f$

Alternative solution to a problem involving an enumeration of rationals

How to construct examples of maps that are open or closed or continuous but not the others?

Separating points in a compact Hausdorff space.

Inverse function of a product space

A function $f:\mathbb{R}^2\to\mathbb{R}^2$ that is open and closed, but not continuous.

Question regarding measurable set, Hausdorff-Space and almost everywhere properties of measurable functions f,g

In which of the following cases is there no continuous function from the set $S$ onto the set $T$?

When is a subspace of a Scott space itself a Scott space?

$d(0,\alpha x+\beta y) \leq |\alpha|d(0,x)+|\beta|d(0,y);\ |\alpha|+|\beta|\leq 1$

How to prove the set of all symmetric matrices with eigenvalues in $(0,2)$ is connected?

proving property ( and Brouwer's fixed point theorem)

Explain the statemets related to separable spaces.

It is true that $\overline{(0,\epsilon)\cup(\mathbb Q\cap(\epsilon,1))}=[0,1]$ for $\epsilon\in(0,1)$?

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