Question

When can a weighted graph be embedded in a metric space?

score 835 · Answer 1 · 2019-01-04 21:07:57

When can a weighted graph be embedded in a metric space?

Published on 04 Jan 2019 - 21:07

score 87 · Answer 2 · 2019-01-04 22:13:46

If every sequence $(x_{n}) \subset X$ and $(\lambda_{n}) \subset \mathbb{R}$ we have $\lim \lambda_{n}x_{n} = 0$, then $X$ is bounded

score 42 · Answer 3 · 2019-01-04 23:23:23

42

Views

Does Density Property assure the continuity of a Non-Contractive Function?

Published on 04 Jan 2019 - 23:23

score 516 · Answer 4 · 2026-04-01 04:58:50

516

Views

Problem about strictly normed spaces.

Published on 01 Apr 2026 - 4:58

score 130 · Answer 5 · 2026-04-01 05:05:48

130

Views

Show that the two norms in $E=\left\{f\in \mathcal{C}^1[0,1]:f(0)=0\right\}$ are equivalent?

Published on 01 Apr 2026 - 5:05

score 1.2k · Answer 6 · 2026-03-26 17:52:41

1.2k

Views

Formal definition of euclidean space

Published on 26 Mar 2026 - 17:52

score 329 · Answer 7 · 2019-01-05 17:34:45

329

Views

Closed & boundedness, sequentially compactness and Completeness

Published on 05 Jan 2019 - 17:34

score 129 · Answer 8 · 2019-01-05 23:34:34

129

Views

Are equivalent metrics on a Fréchet space strongly equivalent?

Published on 05 Jan 2019 - 23:34

score 941 · Answer 9 · 2019-01-06 15:07:53

941

Views

Is $f(x,y) = d(x,y)$ a continuous function from a Metric space $X \times X$ to $\mathbb R$?

Published on 06 Jan 2019 - 15:07

score 461 · Answer 10 · 2026-03-25 21:00:03

461

Views

Proving the statement "$l^1$ is complete." differently.

Published on 25 Mar 2026 - 21:00

score 420 · Answer 11 · 2026-03-30 12:02:38

420

Views

If $f:X\rightarrow X$ is continuous and $(X,d)$ is compact, show there is $\epsilon>0$ such that $d(x,f(x))>\epsilon$ for all $x\in X$.

Published on 30 Mar 2026 - 12:02

score 58 · Answer 12 · 2026-03-27 04:34:26

58

Views

Is every uniformly continuous function 1-1 and onto?

Published on 27 Mar 2026 - 4:34

score 426 · Answer 13 · 2019-01-08 20:39:23

426

Views

Distance to the boundary equals supremum of the radius of open balls

Published on 08 Jan 2019 - 20:39

score 153 · Answer 14 · 2026-02-23 04:57:46

153

Views

Family of uniformly continuous functions, pointwise equicontinuous but is not uniformy equicontinuous.

Published on 23 Feb 2026 - 4:57

score 128 · Answer 15 · 2019-01-09 02:10:39

128

Views

Filling a gap in triangle inequality proof for $d(x,y)= \left\lvert \frac{|x-y|}{1+|x-y|} \right\lvert $.

Published on 09 Jan 2019 - 2:10

List Question

When can a weighted graph be embedded in a metric space?

If every sequence $(x_{n}) \subset X$ and $(\lambda_{n}) \subset \mathbb{R}$ we have $\lim \lambda_{n}x_{n} = 0$, then $X$ is bounded

Does Density Property assure the continuity of a Non-Contractive Function?

Problem about strictly normed spaces.

Show that the two norms in $E=\left\{f\in \mathcal{C}^1[0,1]:f(0)=0\right\}$ are equivalent?

Formal definition of euclidean space

Closed & boundedness, sequentially compactness and Completeness

Are equivalent metrics on a Fréchet space strongly equivalent?

Is $f(x,y) = d(x,y)$ a continuous function from a Metric space $X \times X$ to $\mathbb R$?

Proving the statement "$l^1$ is complete." differently.

If $f:X\rightarrow X$ is continuous and $(X,d)$ is compact, show there is $\epsilon>0$ such that $d(x,f(x))>\epsilon$ for all $x\in X$.

Is every uniformly continuous function 1-1 and onto?

Distance to the boundary equals supremum of the radius of open balls

Family of uniformly continuous functions, pointwise equicontinuous but is not uniformy equicontinuous.

Filling a gap in triangle inequality proof for $d(x,y)= \left\lvert \frac{|x-y|}{1+|x-y|} \right\lvert $.

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