Question

non complete metric on $\mathbb{R}^2$

score 343 · Answer 1 · 2026-03-26 02:34:51

343

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non complete metric on $\mathbb{R}^2$

Published on 26 Mar 2026 - 2:34

score 85 · Answer 2 · 2026-04-01 05:33:53

85

Views

Arcs Contained In Continuous Injections of $[0,1)$

Published on 01 Apr 2026 - 5:33

score 197 · Answer 3 · 2018-06-18 11:02:19

197

Views

Complete metric for the topology of compact convergence

Published on 18 Jun 2018 - 11:02

score 3.2k · Answer 4 · 2018-06-18 14:05:45

3.2k

Views

Why is the topological definition of continuous the way it is?

Published on 18 Jun 2018 - 14:05

score 166 · Answer 5 · 2018-06-18 14:33:22

166

Views

Maximum number of $\varepsilon$-separated points in unit ball.

Published on 18 Jun 2018 - 14:33

score 74 · Answer 6 · 2026-03-26 12:38:03

74

Views

Question about the domain of a function in the definition of the derivative of a function

Published on 26 Mar 2026 - 12:38

score 1k · Answer 7 · 2018-06-19 01:24:44

1k

Views

Continuous function on product of metric space

Published on 19 Jun 2018 - 1:24

score 139 · Answer 8 · 2026-03-25 01:21:22

139

Views

Isometrically embed $K$-gon into $\mathbb{R}^N$

Published on 25 Mar 2026 - 1:21

score 327 · Answer 9 · 2018-06-20 12:25:38

327

Views

Is there a continuous bijection from open unit interval to open unit disc?

Published on 20 Jun 2018 - 12:25

score 143 · Answer 10 · 2018-06-21 02:05:02

143

Views

If A is a subset of Metric Space M such that A is nowhere dense , then Clo(A) contains no open set of M

Published on 21 Jun 2018 - 2:05

score 670 · Answer 11 · 2026-03-25 15:17:49

670

Views

Proof that $\mathbb{R}^2$ is complete with the metric $d(x,y) = \min\{\|x-y\|, 1\}$.

Published on 25 Mar 2026 - 15:17

score 179 · Answer 12 · 2026-03-28 18:14:13

179

Views

Cover a compact set with closed balls

Published on 28 Mar 2026 - 18:14

score 149 · Answer 13 · 2018-06-21 22:04:04

149

Views

Does $dist(x, \partial A) \leq dist(x, \partial B)$ if $x \in A \subset B$?

Published on 21 Jun 2018 - 22:04

score 48 · Answer 14 · 2026-03-28 20:14:56

If Λ is a open subset of a metric space and $K⊆Λ_ε:=\{x:d(x,Λ^c)>ε\}$ is compact, is there a compact $L⊆Λ_ε$ s.t. $B_δ(x)⊆L$ for all $x∈K$?

score 71 · Answer 15 · 2026-03-29 13:40:26

71

Views

Decreasing sequence of bounded closed sets with lower bounded diameters

Published on 29 Mar 2026 - 13:40

List Question

non complete metric on $\mathbb{R}^2$

Arcs Contained In Continuous Injections of $[0,1)$

Complete metric for the topology of compact convergence

Why is the topological definition of continuous the way it is?

Maximum number of $\varepsilon$-separated points in unit ball.

Question about the domain of a function in the definition of the derivative of a function

Continuous function on product of metric space

Isometrically embed $K$-gon into $\mathbb{R}^N$

Is there a continuous bijection from open unit interval to open unit disc?

If A is a subset of Metric Space M such that A is nowhere dense , then Clo(A) contains no open set of M

Proof that $\mathbb{R}^2$ is complete with the metric $d(x,y) = \min\{\|x-y\|, 1\}$.

Cover a compact set with closed balls

Does $dist(x, \partial A) \leq dist(x, \partial B)$ if $x \in A \subset B$?

If Λ is a open subset of a metric space and $K⊆Λ_ε:=\{x:d(x,Λ^c)>ε\}$ is compact, is there a compact $L⊆Λ_ε$ s.t. $B_δ(x)⊆L$ for all $x∈K$?

Decreasing sequence of bounded closed sets with lower bounded diameters

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