List questions from metric-spaces

Published on 27 Mar 2026 - 16:19

49

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Show that the interior of A in P is equal $(A\cup P^c)^o\cap P$

Published on 21 May 2019 - 19:43

90

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A uniformly continuous function with the supremum metric...

Published on 27 Mar 2026 - 18:26

314

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Every isometry is Lipchitz-continuous

Published on 21 May 2019 - 21:57

69

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How do I prove that a closed subset of a compact set is compact directly from the definition?

Published on 22 May 2019 - 13:16

227

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Positivity and Symmetry from defination of Metric

Published on 22 May 2019 - 15:05

147

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Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^{n-1}$.

Published on 22 May 2019 - 15:16

122

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Homeomorphism inducing auto-homeomorphism on function space

Published on 23 May 2019 - 17:14

113

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Density of Solution to ODE in Function Space

Published on 08 Apr 2026 - 1:34

42

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Every metric space is the union of open balls.

Published on 08 Apr 2026 - 2:59

489

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Proof that a quotient metric space is complete

Published on 26 Mar 2026 - 1:28

301

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$(Y,d)$ is a complete metric space $\rightarrow$ $(B(X,Y),p)$ is a complete metric space.

Published on 26 May 2019 - 1:22

57

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Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

Published on 26 Mar 2026 - 3:13

209

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unbounded metric

Published on 26 May 2019 - 12:38

122

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Does Sørensen–Dice Coefficient only account for true positives?

Published on 28 Mar 2026 - 17:39

List Question

detecting flares with persistent homology

Show that the interior of A in P is equal $(A\cup P^c)^o\cap P$

A uniformly continuous function with the supremum metric...

Every isometry is Lipchitz-continuous

How do I prove that a closed subset of a compact set is compact directly from the definition?

Positivity and Symmetry from defination of Metric

Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^{n-1}$.

Homeomorphism inducing auto-homeomorphism on function space

Density of Solution to ODE in Function Space

Every metric space is the union of open balls.

Proof that a quotient metric space is complete

$(Y,d)$ is a complete metric space $\rightarrow$ $(B(X,Y),p)$ is a complete metric space.

Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

unbounded metric

Does Sørensen–Dice Coefficient only account for true positives?

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