Question

Is every compact, homogeneous, totally disconnected space a power of a finite discrete space?

score 116 · Answer 1 · 2026-03-25 14:36:49

116

Views

Is every compact, homogeneous, totally disconnected space a power of a finite discrete space?

Published on 25 Mar 2026 - 14:36

score 136 · Answer 2 · 2026-03-26 06:21:27

136

Views

In a Banach space, the closed convex hull of weakly compact set is weakly compact

Published on 26 Mar 2026 - 6:21

score 186 · Answer 3 · 2026-03-25 19:03:30

186

Views

Compact Way of Storing Chess State Information

Published on 25 Mar 2026 - 19:03

score 67 · Answer 4 · 2026-03-30 23:15:35

67

Views

Equivalence of 4.17 Rudin on $X=[a,b]$ and $X=(a,b)$ - inverse of 1-to-1 continuous function on compact set is continuous

Published on 30 Mar 2026 - 23:15

score 142 · Answer 5 · 2023-05-03 14:01:51

142

Views

$f^{-1}(L)$ where $L$ is compact.

Published on 03 May 2023 - 14:01

score 68 · Answer 6 · 2023-05-03 14:53:28

68

Views

$U \subset \mathbb{R}^m$ compact, convex that does not contain $0$.

Published on 03 May 2023 - 14:53

score 47 · Answer 7 · 2026-03-26 17:31:29

47

Views

Finiteness of the Injective Hull

Published on 26 Mar 2026 - 17:31

score 192 · Answer 8 · 2026-04-08 16:49:30

192

Views

When is the compact-open topology compact?

Published on 08 Apr 2026 - 16:49

score 144 · Answer 9 · 2026-03-27 07:50:40

144

Views

Prove that union of intersections of nested balls in $R^k$ is a perfect set

Published on 27 Mar 2026 - 7:50

score 54 · Answer 10 · 2026-04-08 21:45:34

54

Views

(Intuition) Compact subsets of metric spaces are closed

Published on 08 Apr 2026 - 21:45

score 124 · Answer 11 · 2026-04-01 19:26:56

124

Views

Find infimum and supremum of the function $f$ defined by the formula $f(x, y, z) = x^2 + y^2 + z^2$ on the set $A$

Published on 01 Apr 2026 - 19:26

score 70 · Answer 12 · 2023-05-08 19:33:17

70

Views

Countable compactness and basic open cover

Published on 08 May 2023 - 19:33

score 101 · Answer 13 · 2023-05-10 21:56:57

101

Views

Direct proof of Alexander's Subbasis Theorem from Propositional Compactness

Published on 10 May 2023 - 21:56

score 54 · Answer 14 · 2023-05-10 22:11:59

54

Views

Given $K$ is compact and $f: K \rightarrow (0, +\infty)$ continuous then $\exists y > 0: \ f(x) > y ,~ \forall x \in K$

Published on 10 May 2023 - 22:11

score 45 · Answer 15 · 2026-03-26 01:28:36

45

Views

$S$ is compact if every net in $S$ has a convergent subnet

Published on 26 Mar 2026 - 1:28

List Question

Is every compact, homogeneous, totally disconnected space a power of a finite discrete space?

In a Banach space, the closed convex hull of weakly compact set is weakly compact

Compact Way of Storing Chess State Information

Equivalence of 4.17 Rudin on $X=[a,b]$ and $X=(a,b)$ - inverse of 1-to-1 continuous function on compact set is continuous

$f^{-1}(L)$ where $L$ is compact.

$U \subset \mathbb{R}^m$ compact, convex that does not contain $0$.

Finiteness of the Injective Hull

When is the compact-open topology compact?

Prove that union of intersections of nested balls in $R^k$ is a perfect set

(Intuition) Compact subsets of metric spaces are closed

Find infimum and supremum of the function $f$ defined by the formula $f(x, y, z) = x^2 + y^2 + z^2$ on the set $A$

Countable compactness and basic open cover

Direct proof of Alexander's Subbasis Theorem from Propositional Compactness

Given $K$ is compact and $f: K \rightarrow (0, +\infty)$ continuous then $\exists y > 0: \ f(x) > y ,~ \forall x \in K$

$S$ is compact if every net in $S$ has a convergent subnet

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