List questions from metric-spaces

Published on 22 Sep 2019 - 0:24

179

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Question about $l_\infty$ as a complete metric space

Published on 26 Mar 2026 - 20:38

1.6k

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Distance from a point in a set to a subset of that set is Lipschitz

Published on 26 Mar 2026 - 11:04

20

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Does this asymptotic density property has an established name?

Published on 22 Sep 2019 - 16:08

213

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Prove that product topology and metric topology are the same on $\{1,2,\ldots,m\}^{\mathbb{N}}$

Published on 26 Mar 2026 - 11:00

981

Views

KL divergence, Fisher information and "distance" in information theory

Published on 09 Apr 2026 - 7:00

546

Views

Example where $A$ and $B$ closed, $A+B$ not an $F_{\sigma}$

Published on 01 Apr 2026 - 15:40

100

Views

Taking limits with respect to the Hausdorff metric does not preserve measure

Published on 25 Mar 2026 - 7:45

209

Views

Does this completed metric space form a semi-ring?

Published on 25 Mar 2026 - 11:12

324

Views

Find the interior, closure and more of the following set

Published on 23 Sep 2019 - 14:53

49

Views

Characterization of accumulation and isolated points of a set

Published on 23 Sep 2019 - 16:54

300

Views

Metric defined on the union of two disjoint metric spaces

Published on 23 Sep 2019 - 18:03

59

Views

Proving not so usual topology for $C(I)= \lbrace f:I \to \mathbb{R}:\mbox{f is continuous} \rbrace$ using the definition of a basis.

Published on 12 Apr 2026 - 2:50

41

Views

Verify some properties on an function

Published on 24 Sep 2019 - 3:37

71

Views

Discrete metric on an abelian group that arises from a norm on the group

Published on 24 Sep 2019 - 16:19

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Cauchy sequence with a given metric

Question about $l_\infty$ as a complete metric space

Distance from a point in a set to a subset of that set is Lipschitz

Does this asymptotic density property has an established name?

Prove that product topology and metric topology are the same on $\{1,2,\ldots,m\}^{\mathbb{N}}$

KL divergence, Fisher information and "distance" in information theory

Example where $A$ and $B$ closed, $A+B$ not an $F_{\sigma}$

Taking limits with respect to the Hausdorff metric does not preserve measure

Does this completed metric space form a semi-ring?

Find the interior, closure and more of the following set

Characterization of accumulation and isolated points of a set

Metric defined on the union of two disjoint metric spaces

Proving not so usual topology for $C(I)= \lbrace f:I \to \mathbb{R}:\mbox{f is continuous} \rbrace$ using the definition of a basis.

Verify some properties on an function

Discrete metric on an abelian group that arises from a norm on the group

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