Question

Let $K$ a separable, compact metric space. We can say that $C(K,\Bbb R)$ is also separable?

score 184 · Answer 1 · 2026-04-15 13:59:31

184

Views

Let $K$ a separable, compact metric space. We can say that $C(K,\Bbb R)$ is also separable?

Published on 15 Apr 2026 - 13:59

score 591 · Answer 2 · 2026-04-12 15:48:03

591

Views

the Euler characteristic of $K\#K$

Published on 12 Apr 2026 - 15:48

score 88 · Answer 3 · 2026-04-13 07:37:42

88

Views

$X\times Y$ homeomorphic to $X^{} \times Y^{}$ Proof Verification

Published on 13 Apr 2026 - 7:37

score 535 · Answer 4 · 2026-04-14 19:31:37

535

Views

Space with semi-locally simply connected open subsets

Published on 14 Apr 2026 - 19:31

score 38 · Answer 5 · 2026-04-13 08:31:20

38

Views

Continuity of $\ell^2$-norm in $\overline{\mathbb{R}}$

Published on 13 Apr 2026 - 8:31

score 39 · Answer 6 · 2026-04-16 15:30:56

39

Views

WTS in a metric space $X$, $B = \{q \in X | d(p, q)> \delta \}$ is open without using the fact that the complement of a closed set is open

Published on 16 Apr 2026 - 15:30

score 202 · Answer 7 · 2026-04-17 13:31:48

202

Views

Analytic sets have perfect set property (Kechris)

Published on 17 Apr 2026 - 13:31

score 20 · Answer 8 · 2026-04-14 12:02:04

20

Views

Find/Prove Compact Subspace that is Non-Closed

Published on 14 Apr 2026 - 12:02

score 65 · Answer 9 · 2026-04-13 16:21:46

65

Views

How are open subsets and relatively open subsets different from each other?

Published on 13 Apr 2026 - 16:21

score 78 · Answer 10 · 2026-04-15 07:04:07

78

Views

How to show $f: \mathbb{R}^2 \rightarrow \mathbb{R}$ given by $f(x,y)=x^3$ is an open map?

Published on 15 Apr 2026 - 7:04

score 107 · Answer 11 · 2026-04-07 23:49:16

107

Views

Another question on compact set decomposition

Published on 07 Apr 2026 - 23:49

score 40 · Answer 12 · 2026-04-17 15:06:33

40

Views

Proving the set of distances is connected

Published on 17 Apr 2026 - 15:06

score 94 · Answer 13 · 2026-04-12 00:14:37

94

Views

Metric Space and Analysis: Prove that if $U$ is an open subset of $\mathbb R$ and $c\in U$, then $U\setminus\{c\}$ is disconnected

Published on 12 Apr 2026 - 0:14

score 307 · Answer 14 · 2026-04-09 21:44:29

307

Views

Can a topology induce a metric?

Published on 09 Apr 2026 - 21:44

score 416 · Answer 15 · 2026-04-09 08:36:30

416

Views

Are minimal neighborhoods in an Alexandrov topology path-connected?

Published on 09 Apr 2026 - 8:36

List Question

Let $K$ a separable, compact metric space. We can say that $C(K,\Bbb R)$ is also separable?

the Euler characteristic of $K\#K$

$X\times Y$ homeomorphic to $X^{} \times Y^{}$ Proof Verification

Space with semi-locally simply connected open subsets

Continuity of $\ell^2$-norm in $\overline{\mathbb{R}}$

WTS in a metric space $X$, $B = \{q \in X | d(p, q)> \delta \}$ is open without using the fact that the complement of a closed set is open

Analytic sets have perfect set property (Kechris)

Find/Prove Compact Subspace that is Non-Closed

How are open subsets and relatively open subsets different from each other?

How to show $f: \mathbb{R}^2 \rightarrow \mathbb{R}$ given by $f(x,y)=x^3$ is an open map?

Another question on compact set decomposition

Proving the set of distances is connected

Metric Space and Analysis: Prove that if $U$ is an open subset of $\mathbb R$ and $c\in U$, then $U\setminus\{c\}$ is disconnected

Can a topology induce a metric?

Are minimal neighborhoods in an Alexandrov topology path-connected?

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