Question

I am stranded on this issue, it is easy to show that $ F $ is uniformly continuous, after that I get lost.

score 64 · Answer 1 · 2020-01-07 18:22:27

64

Views

I am stranded on this issue, it is easy to show that $ F $ is uniformly continuous, after that I get lost.

Published on 07 Jan 2020 - 18:22

score 255 · Answer 2 · 2020-01-08 00:45:03

255

Views

About continuous functions on a compact Hausdorff space.

Published on 08 Jan 2020 - 0:45

score 585 · Answer 3 · 2026-03-25 12:50:50

585

Views

If the Killing form of a Lie algebra is negative definite, then the Lie algebra is the Lie algebra of a compact semisimple Lie group?

Published on 25 Mar 2026 - 12:50

score 257 · Answer 4 · 2020-01-09 20:00:12

257

Views

Do non-compact spaces always contain "big" closed subsets?

Published on 09 Jan 2020 - 20:00

score 232 · Answer 5 · 2020-01-10 01:14:32

232

Views

Hausdorff metric and compactness

Published on 10 Jan 2020 - 1:14

score 62 · Answer 6 · 2020-01-11 18:57:11

62

Views

Prove or give counterexample, is $K$ a compact set.

Published on 11 Jan 2020 - 18:57

score 29 · Answer 7 · 2020-01-12 14:05:27

29

Views

$\left | p(z_{0}) \right | = \inf \left \{ \left | p(z) \right | : z \in \mathbb{C} \right \} $

Published on 12 Jan 2020 - 14:05

score 49 · Answer 8 · 2020-01-12 16:00:24

49

Views

Closed and Compact Subset of a Metric Space

Published on 12 Jan 2020 - 16:00

score 106 · Answer 9 · 2020-01-12 21:07:02

106

Views

Union and intersection of compact sets compact in a normed linear space

Published on 12 Jan 2020 - 21:07

score 210 · Answer 10 · 2026-03-26 01:10:39

210

Views

Lipschitz continuity: Family of functions indexed by compact space

Published on 26 Mar 2026 - 1:10

score 157 · Answer 11 · 2026-03-31 07:57:15

157

Views

Compactness of the associated (Stone) space of an infinite Boolean Algebra.

Published on 31 Mar 2026 - 7:57

score 112 · Answer 12 · 2020-01-14 18:06:55

112

Views

Find a continuous, real valued function without maximum and show that a set is compact in $\ell^1$

Published on 14 Jan 2020 - 18:06

score 82 · Answer 13 · 2026-04-02 10:33:02

82

Views

Is the ball $\{f\in W^{m, 2}(0,1): \|f-\psi\|_{\infty} \leq 1 \}$ compact?

Published on 02 Apr 2026 - 10:33

score 61 · Answer 14 · 2026-03-25 22:09:21

61

Views

To prove that $X_{\infty}$ is normal

Published on 25 Mar 2026 - 22:09

score 126 · Answer 15 · 2020-01-19 03:21:15

126

Views

If $A$ is Compact, all Continuous Functions on $A$ are Bounded

Published on 19 Jan 2020 - 3:21

List Question

I am stranded on this issue, it is easy to show that $ F $ is uniformly continuous, after that I get lost.

About continuous functions on a compact Hausdorff space.

If the Killing form of a Lie algebra is negative definite, then the Lie algebra is the Lie algebra of a compact semisimple Lie group?

Do non-compact spaces always contain "big" closed subsets?

Hausdorff metric and compactness

Prove or give counterexample, is $K$ a compact set.

$\left | p(z_{0}) \right | = \inf \left \{ \left | p(z) \right | : z \in \mathbb{C} \right \} $

Closed and Compact Subset of a Metric Space

Union and intersection of compact sets compact in a normed linear space

Lipschitz continuity: Family of functions indexed by compact space

Compactness of the associated (Stone) space of an infinite Boolean Algebra.

Find a continuous, real valued function without maximum and show that a set is compact in $\ell^1$

Is the ball $\{f\in W^{m, 2}(0,1): \|f-\psi\|_{\infty} \leq 1 \}$ compact?

To prove that $X_{\infty}$ is normal

If $A$ is Compact, all Continuous Functions on $A$ are Bounded

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