Question

$d(x,y) = |f(x) - f(y)|$ on $\mathbb{R}$

score 278 · Answer 1 · 2026-03-26 01:34:58

278

Views

$d(x,y) = |f(x) - f(y)|$ on $\mathbb{R}$

Published on 26 Mar 2026 - 1:34

score 354 · Answer 2 · 2026-03-26 23:11:17

354

Views

Supremum equals maximum on a subset of natural numbers

Published on 26 Mar 2026 - 23:11

score 99 · Answer 3 · 2026-03-25 12:53:22

99

Views

Characterization of weak compactness in a Banach space

Published on 25 Mar 2026 - 12:53

score 146 · Answer 4 · 2019-05-22 12:01:37

146

Views

star-compact space

Published on 22 May 2019 - 12:01

score 216 · Answer 5 · 2026-03-25 06:19:50

216

Views

Adjunction spaces of second countable, locally compact, Hausdorff spaces

Published on 25 Mar 2026 - 6:19

score 109 · Answer 6 · 2019-05-24 09:17:28

109

Views

Compactly supported functions non zero integral

Published on 24 May 2019 - 9:17

score 117 · Answer 7 · 2026-03-28 07:38:32

117

Views

If $\bigcap\limits_\alpha K_\alpha=\emptyset,$ then there exists $\alpha_1,\dots,\alpha_n$ such that $\bigcap\limits_{k=1}^n K_{\alpha_k}=\emptyset$

Published on 28 Mar 2026 - 7:38

score 57 · Answer 8 · 2026-03-26 03:13:31

57

Views

Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

Published on 26 Mar 2026 - 3:13

score 141 · Answer 9 · 2026-03-30 02:53:35

141

Views

If $f$ is continuous, then $G$ is connected . True/false?

Published on 30 Mar 2026 - 2:53

score 52 · Answer 10 · 2019-05-26 19:41:34

52

Views

Determining if the set $\{e^{-x} : x\geq 0\}$ is compact or not.

Published on 26 May 2019 - 19:41

score 177 · Answer 11 · 2019-05-27 15:54:37

177

Views

Showing that an arbitrary intersection of compact sets is compact in $\mathbb{R}$

Published on 27 May 2019 - 15:54

score 70 · Answer 12 · 2026-03-25 17:39:02

70

Views

Example of a non-surjective isometric mapping on a totally bounded metric space

Published on 25 Mar 2026 - 17:39

score 52 · Answer 13 · 2019-05-30 09:56:05

52

Views

Is the set $\left\{ \boldsymbol{\beta} \in \mathbb{R}^{p}: ||\mathbf{A} \boldsymbol{\beta} - \boldsymbol{d}|| \leq D \right\}$ compact?

Published on 30 May 2019 - 9:56

score 519 · Answer 14 · 2019-05-31 20:34:24

519

Views

Connected, locally compact, paracompact Hausdorff space is exhaustible by compacts

Published on 31 May 2019 - 20:34

score 1k · Answer 15 · 2019-06-02 02:42:21

1k

Views

Prove that there exists an open set $V$ with compact closure such that $K⊆V⊆\overline V⊆ U$

Published on 02 Jun 2019 - 2:42

List Question

$d(x,y) = |f(x) - f(y)|$ on $\mathbb{R}$

Supremum equals maximum on a subset of natural numbers

Characterization of weak compactness in a Banach space

star-compact space

Adjunction spaces of second countable, locally compact, Hausdorff spaces

Compactly supported functions non zero integral

If $\bigcap\limits_\alpha K_\alpha=\emptyset,$ then there exists $\alpha_1,\dots,\alpha_n$ such that $\bigcap\limits_{k=1}^n K_{\alpha_k}=\emptyset$

Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

If $f$ is continuous, then $G$ is connected . True/false?

Determining if the set $\{e^{-x} : x\geq 0\}$ is compact or not.

Showing that an arbitrary intersection of compact sets is compact in $\mathbb{R}$

Example of a non-surjective isometric mapping on a totally bounded metric space

Is the set $\left\{ \boldsymbol{\beta} \in \mathbb{R}^{p}: ||\mathbf{A} \boldsymbol{\beta} - \boldsymbol{d}|| \leq D \right\}$ compact?

Connected, locally compact, paracompact Hausdorff space is exhaustible by compacts

Prove that there exists an open set $V$ with compact closure such that $K⊆V⊆\overline V⊆ U$

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