Question

What is an example of a compact non-uniformizable space?

score 185 · Answer 1 · 2026-04-11 02:24:11

185

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What is an example of a compact non-uniformizable space?

Published on 11 Apr 2026 - 2:24

score 1.3k · Answer 2 · 2026-04-13 17:16:19

1.3k

Views

The universal cover covers any connected cover

Published on 13 Apr 2026 - 17:16

score 34 · Answer 3 · 2026-04-11 06:08:32

34

Views

When is a $(\prod_{\alpha \in J} X_\alpha \to X)$-function continuous?

Published on 11 Apr 2026 - 6:08

score 328 · Answer 4 · 2026-04-17 11:16:21

328

Views

Terminology: Path, Curve, Graph

Published on 17 Apr 2026 - 11:16

score 101 · Answer 5 · 2026-04-16 01:09:09

101

Views

$a\in\overline{S}$ if and only if there exists an $x_n\in S$ such that $|x_n-a|<\frac{1}{n}$

Published on 16 Apr 2026 - 1:09

score 79 · Answer 6 · 2026-04-14 16:21:16

79

Views

$T = \{1,1/2,1/3,1/4,1/5,\dots,1/n,\dots\}$ is not closed in $\mathbf{R}$

Published on 14 Apr 2026 - 16:21

score 808 · Answer 7 · 2026-04-13 16:29:03

808

Views

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

Published on 13 Apr 2026 - 16:29

score 606 · Answer 8 · 2026-04-12 10:23:11

606

Views

Understanding the completion theorem for metric (vector) spaces

Published on 12 Apr 2026 - 10:23

score 310 · Answer 9 · 2026-04-22 10:27:59

310

Views

Is there a homeomorphism between the sets of Schur stable and Hurwitz stable matrices in companion forms?

Published on 22 Apr 2026 - 10:27

score 460 · Answer 10 · 2026-04-13 23:15:50

460

Views

Intrinsic curvature and is the space described by polar coordinates Euclidean?

Published on 13 Apr 2026 - 23:15

score 66 · Answer 11 · 2026-04-15 17:39:28

66

Views

Do inhabitants of an intrinsically curved space get to see the Riemannian metric tensor, or only the result of a distance metric?

Published on 15 Apr 2026 - 17:39

score 691 · Answer 12 · 2026-04-11 18:50:46

691

Views

Don't understand well the definition of compactness, or a compact set

Published on 11 Apr 2026 - 18:50

score 45 · Answer 13 · 2026-04-14 16:33:50

45

Views

Proving that $(a,b)$ is $F_{\sigma},\forall a,b\in\mathbf{R}$

Published on 14 Apr 2026 - 16:33

score 174 · Answer 14 · 2026-04-16 12:14:38

174

Views

Prove that in $\mathbb{R}$ $\text{int([0,1])}=(0,1)$

Published on 16 Apr 2026 - 12:14

score 1.5k · Answer 15 · 2026-04-16 08:13:52

1.5k

Views

Showing that $d(x,y)=|(1/x)-(1/y)|$ is a metric

Published on 16 Apr 2026 - 8:13

List Question

What is an example of a compact non-uniformizable space?

The universal cover covers any connected cover

When is a $(\prod_{\alpha \in J} X_\alpha \to X)$-function continuous?

Terminology: Path, Curve, Graph

$a\in\overline{S}$ if and only if there exists an $x_n\in S$ such that $|x_n-a|<\frac{1}{n}$

$T = \{1,1/2,1/3,1/4,1/5,\dots,1/n,\dots\}$ is not closed in $\mathbf{R}$

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

Understanding the completion theorem for metric (vector) spaces

Is there a homeomorphism between the sets of Schur stable and Hurwitz stable matrices in companion forms?

Intrinsic curvature and is the space described by polar coordinates Euclidean?

Do inhabitants of an intrinsically curved space get to see the Riemannian metric tensor, or only the result of a distance metric?

Don't understand well the definition of compactness, or a compact set

Proving that $(a,b)$ is $F_{\sigma},\forall a,b\in\mathbf{R}$

Prove that in $\mathbb{R}$ $\text{int([0,1])}=(0,1)$

Showing that $d(x,y)=|(1/x)-(1/y)|$ is a metric

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