List questions from metric-spaces

Published on 11 Apr 2026 - 23:47

44

Views

Are there specific classes of functions that preserve metric topology?

Published on 11 Apr 2026 - 12:54

1.6k

Views

Question about nested sequence in complete metric space

Published on 30 Sep 2019 - 23:59

241

Views

if every sequence $(x_n)$ of $A$ contains a Cauchy subsequence, then $A$ is totally bounded

Published on 29 Mar 2026 - 3:45

645

Views

Continuity of matrix product

Published on 11 Apr 2026 - 22:58

1.9k

Views

What minimizes the Chebyshev Distance?

Published on 10 Apr 2026 - 21:23

248

Views

Is a finite subset of a complete metric space again a complete metric space?

Published on 12 Mar 2014 - 10:27

802

Views

Is $\mathbb R^{\omega}$ homeomorphic to $\mathbb R^{\omega} \times \mathbb R^{\omega}$?

Published on 10 Apr 2026 - 20:22

65

Views

Show that $A$ is closed in $X$ and $f(A)$ is not closed in $Y$.

Published on 12 Mar 2014 - 21:36

104

Views

In a metric space, if $A$ is open and $B$ is closed, is $A + B$ open or closed?

Published on 13 Mar 2014 - 13:25

1.5k

Views

Definition of a nowhere dense set

Published on 12 Apr 2026 - 7:36

929

Views

In what metric spaces is a closed and bounded set compact?

Published on 10 Apr 2026 - 0:26

587

Views

Completeness and separability of $B(X)$ (bounded linear operators on $X$)

Published on 30 Mar 2026 - 3:36

495

Views

How can the y-axis in $\mathbb{R^2}$ be open?

Published on 11 Apr 2026 - 2:10

432

Views

The distance between an element and a subset of a metric space.

Published on 14 Mar 2014 - 20:38

List Question

How to Design a Metric for Trees

Are there specific classes of functions that preserve metric topology?

Question about nested sequence in complete metric space

if every sequence $(x_n)$ of $A$ contains a Cauchy subsequence, then $A$ is totally bounded

Continuity of matrix product

What minimizes the Chebyshev Distance?

Is a finite subset of a complete metric space again a complete metric space?

Is $\mathbb R^{\omega}$ homeomorphic to $\mathbb R^{\omega} \times \mathbb R^{\omega}$?

Show that $A$ is closed in $X$ and $f(A)$ is not closed in $Y$.

In a metric space, if $A$ is open and $B$ is closed, is $A + B$ open or closed?

Definition of a nowhere dense set

In what metric spaces is a closed and bounded set compact?

Completeness and separability of $B(X)$ (bounded linear operators on $X$)

How can the y-axis in $\mathbb{R^2}$ be open?

The distance between an element and a subset of a metric space.

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