List questions from metric-spaces

Published on 21 Apr 2014 - 18:03

717

Views

On the Gromov-Hausdorff distance

Published on 21 Apr 2014 - 23:50

42

Views

Show $d_{1}(x_{n},x)\rightarrow{0}$ if and only if $d_{2}(x_{n},x)\rightarrow{0}$.

Published on 22 Apr 2014 - 4:04

1.7k

Views

Distance to a set is continuous, revisited

Published on 22 Apr 2014 - 4:51

2.3k

Views

Hausdorff and Fréchet distances

Published on 22 Apr 2014 - 10:17

1.8k

Views

How do i show that if every continuous function on $X$ is bounded, then $X$ is compact?

Published on 11 Apr 2026 - 16:00

203

Views

Is my answer really wrong?

Published on 10 Apr 2026 - 0:35

50

Views

Proving $d_E$ is a Metric on $\Bbb R^n$

Published on 29 Mar 2026 - 7:28

373

Views

Proving that $X$ is a closed subset if and only if whenever $B_\epsilon (x) \cap X \neq \emptyset $ for every $\epsilon >0$, then $x \in X$.

Published on 24 Apr 2014 - 14:15

80

Views

Metric space, inequation

Published on 11 Apr 2026 - 3:23

169

Views

Something not working out for me in the continuity definition

Published on 10 Apr 2026 - 1:13

210

Views

On Contractive mapping theorem

Published on 12 Apr 2026 - 14:57

225

Views

Is mean pairwise distance a metric over subsets of a metric space.

Published on 25 Mar 2026 - 14:25

120

Views

Constructive fixed-point theorems where finite iteration yields the fixed point

Published on 25 Mar 2026 - 21:46

669

Views

manhattan to euclidean metric

Published on 11 Apr 2026 - 22:51

List Question

Rational vs real metric space

On the Gromov-Hausdorff distance

Show $d_{1}(x_{n},x)\rightarrow{0}$ if and only if $d_{2}(x_{n},x)\rightarrow{0}$.

Distance to a set is continuous, revisited

Hausdorff and Fréchet distances

How do i show that if every continuous function on $X$ is bounded, then $X$ is compact?

Is my answer really wrong?

Proving $d_E$ is a Metric on $\Bbb R^n$

Proving that $X$ is a closed subset if and only if whenever $B_\epsilon (x) \cap X \neq \emptyset $ for every $\epsilon >0$, then $x \in X$.

Metric space, inequation

Something not working out for me in the continuity definition

On Contractive mapping theorem

Is mean pairwise distance a metric over subsets of a metric space.

Constructive fixed-point theorems where finite iteration yields the fixed point

manhattan to euclidean metric

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