List questions from complete-spaces

Published on 11 Dec 2019 - 6:44

151

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Why do we need isometries in the completion of an incomplete metric space?

Published on 11 Dec 2019 - 11:35

51

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For $p$ in the boundary of a smooth manifold, is there $q$ near $p$ for which $p$ is the closest boundary element to $q$?

Published on 14 Dec 2019 - 9:50

224

Views

Does this inclusion for Besov function spaces hold and how to prove it?

Published on 16 Mar 2026 - 23:43

165

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Proving Set is Connected and Complete

Published on 16 Dec 2019 - 23:10

120

Views

Homeomorphic Metric Spaces With Non-homeomorphic Completions

Published on 20 Dec 2019 - 3:21

1.7k

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How to show a metric space is not complete

Published on 28 Dec 2019 - 11:16

1.6k

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Example of an incomplete inner product space?

Published on 10 Jan 2020 - 15:34

25

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Invalid problem to show $\mathcal{C}^0([0,1])$ is not complete with respect to the $L^1$-Norm

Published on 17 Jan 2020 - 18:13

120

Views

Fixed point of $T(f) = \lambda \int_0^2 y^2 f(y)\,dy + 3 \lambda f(x/4) + x$ for $0 \leq x \leq 2?$

Published on 25 Mar 2026 - 11:16

251

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Questions about proof for metric space completion

Published on 22 Jan 2020 - 8:53

155

Views

Equivalent notion of completion of metric space.

Published on 26 Mar 2026 - 1:34

156

Views

Completeness of $L^2([0,1]) \otimes L^2([0,1])$.

Published on 04 Feb 2020 - 16:44

33

Views

Tell if a set $K \subseteq\mathbb R $, closed in $\tau_d$ and bounded by the distance d is necessarily compact in $\tau_d$

Published on 05 Feb 2020 - 20:18

59

Views

What is wrong with my solution about the completeness of this metric space?

Published on 06 Feb 2020 - 11:13

List Question

Extending an inner product to its completion

Why do we need isometries in the completion of an incomplete metric space?

For $p$ in the boundary of a smooth manifold, is there $q$ near $p$ for which $p$ is the closest boundary element to $q$?

Does this inclusion for Besov function spaces hold and how to prove it?

Proving Set is Connected and Complete

Homeomorphic Metric Spaces With Non-homeomorphic Completions

How to show a metric space is not complete

Example of an incomplete inner product space?

Invalid problem to show $\mathcal{C}^0([0,1])$ is not complete with respect to the $L^1$-Norm

Fixed point of $T(f) = \lambda \int_0^2 y^2 f(y)\,dy + 3 \lambda f(x/4) + x$ for $0 \leq x \leq 2?$

Questions about proof for metric space completion

Equivalent notion of completion of metric space.

Completeness of $L^2([0,1]) \otimes L^2([0,1])$.

Tell if a set $K \subseteq\mathbb R $, closed in $\tau_d$ and bounded by the distance d is necessarily compact in $\tau_d$

What is wrong with my solution about the completeness of this metric space?

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