List questions from complete-spaces

Published on 25 Nov 2020 - 14:22

70

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Find a metric space that is totally bounded, not complete, and not separable, or explain why one cannot exist.

Published on 27 Mar 2026 - 3:49

67

Views

If two sets have empty interior closures, does the interior of the closures's union is contained in the union of the interior of the closures?

Published on 09 Dec 2020 - 16:04

58

Views

Understanding the proof of an application of Banach principle of contraction.

Published on 26 Mar 2026 - 6:34

130

Views

Showing Completeness of a Space

Published on 10 Dec 2020 - 3:23

28

Views

Show $\|f\|=\max _{[a, b]}|f(t)|+\max _{[a, b]}\left|f^{\prime}(t)\right|$ is complete set

Published on 10 Dec 2020 - 22:38

27

Views

Completeness of two metrics in the same space

Published on 11 Dec 2020 - 13:53

57

Views

Showing subspaces are complete/ not complete

Published on 11 Dec 2020 - 20:00

149

Views

Semi-metric space with convergence

Published on 15 Dec 2020 - 16:40

75

Views

Prove that $\ell^p$ is complete.

Published on 17 Dec 2020 - 8:57

80

Views

Can we map a complete metric space to $\mathbb{Q}$?

Published on 18 Dec 2020 - 17:29

80

Views

The Completeness of A Space

Published on 22 Dec 2020 - 8:02

220

Views

Local obstruction to having a complete extension

Published on 23 Feb 2026 - 16:56

93

Views

Complex and real matrix for eigenvalues

Published on 28 Dec 2020 - 22:57

135

Views

Space of Katetov-Functions with sup-metric is complete metric space

Published on 29 Dec 2020 - 23:42

List Question

Why homeomorphism between $R$ and $(0,1)$ makes $(0,1)$ completely metrizable space?

Find a metric space that is totally bounded, not complete, and not separable, or explain why one cannot exist.

If two sets have empty interior closures, does the interior of the closures's union is contained in the union of the interior of the closures?

Understanding the proof of an application of Banach principle of contraction.

Showing Completeness of a Space

Show $\|f\|=\max _{[a, b]}|f(t)|+\max _{[a, b]}\left|f^{\prime}(t)\right|$ is complete set

Completeness of two metrics in the same space

Showing subspaces are complete/ not complete

Semi-metric space with convergence

Prove that $\ell^p$ is complete.

Can we map a complete metric space to $\mathbb{Q}$?

The Completeness of A Space

Local obstruction to having a complete extension

Complex and real matrix for eigenvalues

Space of Katetov-Functions with sup-metric is complete metric space

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