Question

The set of discontinuous bounded functions is open in $\mathbb{B}(M,N)$

score 89 · Answer 1 · 2018-09-08 04:48:02

89

Views

The set of discontinuous bounded functions is open in $\mathbb{B}(M,N)$

Published on 08 Sep 2018 - 4:48

score 616 · Answer 2 · 2026-03-25 23:08:38

616

Views

A way to prove that Hausdorff distance is complete

Published on 25 Mar 2026 - 23:08

score 219 · Answer 3 · 2026-03-26 02:57:47

219

Views

Does a curve which is homeomorphic to interval always have a finite length independent of the parametrization in general metric spaces?

Published on 26 Mar 2026 - 2:57

score 546 · Answer 4 · 2018-09-08 18:27:47

546

Views

Metric in any countable infinite set such that no point are isolated

Published on 08 Sep 2018 - 18:27

score 169 · Answer 5 · 2018-09-08 21:53:49

169

Views

Open set and boundary points

Published on 08 Sep 2018 - 21:53

score 105 · Answer 6 · 2018-09-08 22:49:02

105

Views

In a metric space $(M,d)$, a convergent sequence Cauchy and a Cauchy sequence is bounded.

Published on 08 Sep 2018 - 22:49

score 40 · Answer 7 · 2018-09-08 23:34:26

40

Views

Inequality involving metrics

Published on 08 Sep 2018 - 23:34

score 108 · Answer 8 · 2018-09-09 23:13:22

108

Views

Stuck On Starting Proof - Continuous Function Between Metric Spaces

Published on 09 Sep 2018 - 23:13

score 53 · Answer 9 · 2026-03-30 09:49:20

53

Views

Difference between $\|x^{(k)} - x\|_1$ and $\|x^{(k)}_i - x_i\|_1$

Published on 30 Mar 2026 - 9:49

score 132 · Answer 10 · 2026-03-29 10:48:59

132

Views

Family of Closed set of $X$ having finite intersection property with arbitary intersection is non empty Then $X$ is compact metric space

Published on 29 Mar 2026 - 10:48

score 257 · Answer 11 · 2026-03-26 13:00:47

257

Views

In a complete Riemannian manifold $M$, do any two points $p,q\in M$ admit a length minimizing geodesic?

Published on 26 Mar 2026 - 13:00

score 57 · Answer 12 · 2026-03-30 09:49:46

57

Views

Show that $d(x+y,A+B) \leq d(x,A) + d(y,B).$

Published on 30 Mar 2026 - 9:49

score 225 · Answer 13 · 2018-09-10 14:50:55

225

Views

Calculating the boundary of a specific subset of real numbers

Published on 10 Sep 2018 - 14:50

score 110 · Answer 14 · 2026-03-30 07:09:15

110

Views

Characteristics of a convex set if its boundary is convex

Published on 30 Mar 2026 - 7:09

score 2.8k · Answer 15 · 2018-09-11 06:06:38

2.8k

Views

A continuous bijection between two complete metric spaces that is not a homeomorphism.

Published on 11 Sep 2018 - 6:06

List Question

The set of discontinuous bounded functions is open in $\mathbb{B}(M,N)$

A way to prove that Hausdorff distance is complete

Does a curve which is homeomorphic to interval always have a finite length independent of the parametrization in general metric spaces?

Metric in any countable infinite set such that no point are isolated

Open set and boundary points

In a metric space $(M,d)$, a convergent sequence Cauchy and a Cauchy sequence is bounded.

Inequality involving metrics

Stuck On Starting Proof - Continuous Function Between Metric Spaces

Difference between $\|x^{(k)} - x\|_1$ and $\|x^{(k)}_i - x_i\|_1$

Family of Closed set of $X$ having finite intersection property with arbitary intersection is non empty Then $X$ is compact metric space

In a complete Riemannian manifold $M$, do any two points $p,q\in M$ admit a length minimizing geodesic?

Show that $d(x+y,A+B) \leq d(x,A) + d(y,B).$

Calculating the boundary of a specific subset of real numbers

Characteristics of a convex set if its boundary is convex

A continuous bijection between two complete metric spaces that is not a homeomorphism.

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