Question

If $K \subseteq \mathbb{R}^n$ is compact then $\overline{K^{\circ}}$ is compact

score 36 · Answer 1 · 2023-07-10 15:11:22

36

Views

If $K \subseteq \mathbb{R}^n$ is compact then $\overline{K^{\circ}}$ is compact

Published on 10 Jul 2023 - 15:11

score 78 · Answer 2 · 2023-07-10 16:22:42

78

Views

Given $K$ compact, where $K \subseteq U$ open, $\exists \epsilon > 0$ such that $\bigcup_{x \in K} B(x,\epsilon) \subseteq U$

Published on 10 Jul 2023 - 16:22

score 39 · Answer 3 · 2026-02-25 02:31:22

39

Views

Given $X = (C[0,1], d_\infty)$ and $f_n \in X$ then for every $K \subseteq X$ compact, $f_n \nsubseteq K$

Published on 25 Feb 2026 - 2:31

score 60 · Answer 4 · 2023-07-12 03:44:18

60

Views

what is the g defined here

Published on 12 Jul 2023 - 3:44

score 94 · Answer 5 · 2026-04-08 20:29:37

94

Views

How to show the given function is continuous

Published on 08 Apr 2026 - 20:29

score 14 · Answer 6 · 2026-03-02 22:42:00

14

Views

Continuous Functions on Compact T_2 topological spaces

Published on 02 Mar 2026 - 22:42

score 102 · Answer 7 · 2026-03-29 12:50:18

102

Views

Every hyperplane is the Chabauty limit of spheres

Published on 29 Mar 2026 - 12:50

score 39 · Answer 8 · 2023-07-16 08:11:59

39

Views

Baby Rudin 2.40: can an infinitely small subcover $G_\alpha$ be backward-constructed?

Published on 16 Jul 2023 - 8:11

score 77 · Answer 9 · 2026-02-23 10:46:14

77

Views

Class of Lipschitz Functions on the unit d-dimensional ball

Published on 23 Feb 2026 - 10:46

score 40 · Answer 10 · 2026-03-25 14:20:52

40

Views

Condition(s) for weak-star closedness in $B(H)$

Published on 25 Mar 2026 - 14:20

score 84 · Answer 11 · 2026-02-23 10:16:45

84

Views

Are all compact sets in a separable locally compact space G_delta sets?

Published on 23 Feb 2026 - 10:16

score 33 · Answer 12 · 2026-03-28 10:24:11

33

Views

Check proof that $|f_{a_1}(x)-f_{a_2}(x)| \leq f'(x) |a_1 - a_2|$

Published on 28 Mar 2026 - 10:24

score 64 · Answer 13 · 2023-07-22 13:08:56

64

Views

Intersection of Compact sets is compact

Published on 22 Jul 2023 - 13:08

score 228 · Answer 14 · 2023-07-22 19:52:34

228

Views

True or False: Every bounded set of reals consisting of isolated points is finite.

Published on 22 Jul 2023 - 19:52

score 55 · Answer 15 · 2023-07-23 02:00:41

55

Views

If f:$X\rightarrow Y$ is continuous and onto and $X$ is a metric space Y Hausdorff, then $Y$ is metrizable iff $X$ is compact

Published on 23 Jul 2023 - 2:00

List Question

If $K \subseteq \mathbb{R}^n$ is compact then $\overline{K^{\circ}}$ is compact

Given $K$ compact, where $K \subseteq U$ open, $\exists \epsilon > 0$ such that $\bigcup_{x \in K} B(x,\epsilon) \subseteq U$

Given $X = (C[0,1], d_\infty)$ and $f_n \in X$ then for every $K \subseteq X$ compact, $f_n \nsubseteq K$

what is the g defined here

How to show the given function is continuous

Continuous Functions on Compact T_2 topological spaces

Every hyperplane is the Chabauty limit of spheres

Baby Rudin 2.40: can an infinitely small subcover $G_\alpha$ be backward-constructed?

Class of Lipschitz Functions on the unit d-dimensional ball

Condition(s) for weak-star closedness in $B(H)$

Are all compact sets in a separable locally compact space G_delta sets?

Check proof that $|f_{a_1}(x)-f_{a_2}(x)| \leq f'(x) |a_1 - a_2|$

Intersection of Compact sets is compact

True or False: Every bounded set of reals consisting of isolated points is finite.

If f:$X\rightarrow Y$ is continuous and onto and $X$ is a metric space Y Hausdorff, then $Y$ is metrizable iff $X$ is compact

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