Question

Example of a metric.

score 57 · Answer 1 · 2026-03-26 09:37:21

57

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Example of a metric.

Published on 26 Mar 2026 - 9:37

score 258 · Answer 2 · 2019-02-08 13:28:34

258

Views

For what metric spaces $(X, d) \ \exists s > 0$ s.t for all $\epsilon < s$ and all $x \in X$, we have $\text{diam}(B_d(x, \epsilon)) = 2\epsilon$?

Published on 08 Feb 2019 - 13:28

score 40 · Answer 3 · 2026-04-05 17:58:40

40

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Is construction of countable sequence is sufficient to prove following theorem?

Published on 05 Apr 2026 - 17:58

score 3.9k · Answer 4 · 2026-03-25 07:42:28

3.9k

Views

Hölder exponents greater than 1 imply function to be constant?

Published on 25 Mar 2026 - 7:42

score 331 · Answer 5 · 2019-02-08 19:50:31

331

Views

Counterexample to make the difference between weakly sequentially compact and sequentially compact explicit

Published on 08 Feb 2019 - 19:50

score 380 · Answer 6 · 2019-02-09 01:25:57

380

Views

Dense sets in $L_{\infty}$

Published on 09 Feb 2019 - 1:25

score 124 · Answer 7 · 2019-02-09 03:50:39

124

Views

Relationship between uniform convergence and completeness with $BV([a,b])$?

Published on 09 Feb 2019 - 3:50

score 535 · Answer 8 · 2019-02-09 06:01:39

535

Views

Prove that the metric space is incomplete?

Published on 09 Feb 2019 - 6:01

score 454 · Answer 9 · 2019-02-09 14:28:50

454

Views

Continuous functions in metric spaces and open sets

Published on 09 Feb 2019 - 14:28

score 41 · Answer 10 · 2019-02-09 17:28:42

41

Views

Metric spaces and continous functions.

Published on 09 Feb 2019 - 17:28

score 436 · Answer 11 · 2019-02-09 18:31:08

436

Views

On the space of sequences with finitely many non-zero components with the supremum norm and its closed unit disc

Published on 09 Feb 2019 - 18:31

score 366 · Answer 12 · 2019-02-09 18:51:34

366

Views

In what metric spaces is the intersection of nested closed sets non-empty?

Published on 09 Feb 2019 - 18:51

score 380 · Answer 13 · 2026-03-25 16:03:30

380

Views

Is the family of all continuous functions from a compact metric space to a separable complete metric space separable?

Published on 25 Mar 2026 - 16:03

score 49 · Answer 14 · 2019-02-09 20:34:41

49

Views

Metric spaces and boundedness

Published on 09 Feb 2019 - 20:34

score 331 · Answer 15 · 2019-02-09 21:54:51

If a collection of closed sets of arbitrary cardinality in a metric space has empty intersection, does some countable subcollection?

List Question

Example of a metric.

For what metric spaces $(X, d) \ \exists s > 0$ s.t for all $\epsilon < s$ and all $x \in X$, we have $\text{diam}(B_d(x, \epsilon)) = 2\epsilon$?

Is construction of countable sequence is sufficient to prove following theorem?

Hölder exponents greater than 1 imply function to be constant?

Counterexample to make the difference between weakly sequentially compact and sequentially compact explicit

Dense sets in $L_{\infty}$

Relationship between uniform convergence and completeness with $BV([a,b])$?

Prove that the metric space is incomplete?

Continuous functions in metric spaces and open sets

Metric spaces and continous functions.

On the space of sequences with finitely many non-zero components with the supremum norm and its closed unit disc

In what metric spaces is the intersection of nested closed sets non-empty?

Is the family of all continuous functions from a compact metric space to a separable complete metric space separable?

Metric spaces and boundedness

If a collection of closed sets of arbitrary cardinality in a metric space has empty intersection, does some countable subcollection?

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