List questions from metric-spaces

Published on 25 Mar 2026 - 17:38

20

Views

Simple distance problem

Published on 29 Mar 2026 - 1:33

41

Views

Let $ X'$ be a completion of $X$. Is $X'=\bar X$?

Published on 26 Mar 2026 - 3:11

131

Views

Let $(X,d)$ be a metric space and $\emptyset \neq A \subset X$. Show that $f(x) = d(x,A) = \inf\{d(x,a) : a \in A\}$ is a continuous function.

Published on 08 Jul 2019 - 19:34

187

Views

Do convergence under a metric implies convergence under another metric in the same space?

Published on 08 Jul 2019 - 20:46

99

Views

Proofcheck to show that $\bigcap\limits_{n \in \mathbb N} A_{n} = \{x\}$

Published on 08 Jul 2019 - 20:46

56

Views

Existence of sequences whose limit is infimum

Published on 28 Mar 2026 - 23:57

42

Views

limit point and limit of a sequence

Published on 08 Jul 2019 - 23:07

20

Views

A problem in a metric space involving limits

Published on 29 Mar 2026 - 3:21

29

Views

Subspace is compact iff it is closed

Published on 29 Mar 2026 - 1:33

749

Views

Uniform continuity in Metric spaces

Published on 27 Mar 2026 - 22:03

203

Views

Isolated Points in Metric Space

Published on 09 Jul 2019 - 17:35

68

Views

Collection of open subsets of a set X contains X

Published on 09 Jul 2019 - 19:19

60

Views

Is there an example of a distance which is ptolemaic but not metric?

Published on 10 Jul 2019 - 0:06

72

Views

equivalent metrics $\overline{d}(u,v)=\min\{d(u,v),1\}$

Published on 11 Jul 2019 - 0:09

List Question

Why $\mathbb{R}$ is not isomorphic to $\mathbb{Q}_p$ as fields?

Simple distance problem

Let $ X'$ be a completion of $X$. Is $X'=\bar X$?

Let $(X,d)$ be a metric space and $\emptyset \neq A \subset X$. Show that $f(x) = d(x,A) = \inf\{d(x,a) : a \in A\}$ is a continuous function.

Do convergence under a metric implies convergence under another metric in the same space?

Proofcheck to show that $\bigcap\limits_{n \in \mathbb N} A_{n} = \{x\}$

Existence of sequences whose limit is infimum

limit point and limit of a sequence

A problem in a metric space involving limits

Subspace is compact iff it is closed

Uniform continuity in Metric spaces

Isolated Points in Metric Space

Collection of open subsets of a set X contains X

Is there an example of a distance which is ptolemaic but not metric?

equivalent metrics $\overline{d}(u,v)=\min\{d(u,v),1\}$

Trending Questions

Popular # Hahtags

Popular Questions