Question

Clarification on Some Notation in a Lemma: Approximating LSC functions by Lipschitz continuous functions

score 58 · Answer 1 · 2026-03-25 22:23:51

58

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Clarification on Some Notation in a Lemma: Approximating LSC functions by Lipschitz continuous functions

Published on 25 Mar 2026 - 22:23

score 481 · Answer 2 · 2026-03-26 07:32:24

481

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Inner product on the Hyperbolic half plane

Published on 26 Mar 2026 - 7:32

score 67 · Answer 3 · 2019-02-14 00:26:47

67

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Open/Closed Properties of Word Metric

Published on 14 Feb 2019 - 0:26

score 29 · Answer 4 · 2019-02-14 02:05:46

29

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Metric subspace

Published on 14 Feb 2019 - 2:05

score 96 · Answer 5 · 2019-02-14 04:28:33

96

Views

Topology on the space of functions

Published on 14 Feb 2019 - 4:28

score 274 · Answer 6 · 2026-03-27 06:15:06

274

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Metric spaces problem regarding if composition function is uniformly continuous then what about individual function itself

Published on 27 Mar 2026 - 6:15

score 80 · Answer 7 · 2019-02-14 14:22:26

80

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How many of the triangle inequality constraints of a discrete metric space are redundant?

Published on 14 Feb 2019 - 14:22

score 94 · Answer 8 · 2019-02-14 17:56:39

94

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Distance metric on vector space associated with edges of an undirected graph

Published on 14 Feb 2019 - 17:56

score 211 · Answer 9 · 2026-03-26 21:26:00

211

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The image of a continuous mapping on a connected metric space is connected: ($\epsilon - \delta$) proof

Published on 26 Mar 2026 - 21:26

score 302 · Answer 10 · 2019-02-15 04:09:47

302

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Prove that the derived set of $A \subseteq \Bbb R$ is closed

Published on 15 Feb 2019 - 4:09

score 577 · Answer 11 · 2019-02-15 15:28:42

577

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closure of the set $S=\{(x,y)|x\in(0,1)\cap\mathbb{Q};y=\sin(\frac1x)\}$

Published on 15 Feb 2019 - 15:28

score 214 · Answer 12 · 2019-02-16 00:04:49

214

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How does the definition of an open ball in a metric space exclude the empty set?

Published on 16 Feb 2019 - 0:04

score 73 · Answer 13 · 2026-03-26 11:17:33

73

Views

Show that a sequence is Cauchy in $d_1$ iff it's Cauchy in $d_2$

Published on 26 Mar 2026 - 11:17

score 85 · Answer 14 · 2019-02-16 16:25:57

It says to prove that the closed ball in $\mathbb{R}^2$ with the Euclidean metric is this, but isn't that the definition of a closed ball?

score 564 · Answer 15 · 2019-02-16 17:26:34

564

Views

$x \neq y\in$ metric space $M$, prove $\exists$ open sets $U,V$ s.t. $x\in U,\ y\in V$ and $\bar{U} \cap \bar{V} = \emptyset$

Published on 16 Feb 2019 - 17:26

List Question

Clarification on Some Notation in a Lemma: Approximating LSC functions by Lipschitz continuous functions

Inner product on the Hyperbolic half plane

Open/Closed Properties of Word Metric

Metric subspace

Topology on the space of functions

Metric spaces problem regarding if composition function is uniformly continuous then what about individual function itself

How many of the triangle inequality constraints of a discrete metric space are redundant?

Distance metric on vector space associated with edges of an undirected graph

The image of a continuous mapping on a connected metric space is connected: ($\epsilon - \delta$) proof

Prove that the derived set of $A \subseteq \Bbb R$ is closed

closure of the set $S=\{(x,y)|x\in(0,1)\cap\mathbb{Q};y=\sin(\frac1x)\}$

How does the definition of an open ball in a metric space exclude the empty set?

Show that a sequence is Cauchy in $d_1$ iff it's Cauchy in $d_2$

It says to prove that the closed ball in $\mathbb{R}^2$ with the Euclidean metric is this, but isn't that the definition of a closed ball?

$x \neq y\in$ metric space $M$, prove $\exists$ open sets $U,V$ s.t. $x\in U,\ y\in V$ and $\bar{U} \cap \bar{V} = \emptyset$

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