Question

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

score 127 · Answer 1 · 2026-02-23 01:02:59

127

Views

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

Published on 23 Feb 2026 - 1:02

score 2.3k · Answer 2 · 2019-01-02 07:51:14

2.3k

Views

Why doesn't the definition "$p$ is called 'prime' if $p\mid ab\implies p\mid a\,\text{ or }\,p\mid b$" hold up when we square numbers?

Published on 02 Jan 2019 - 7:51

score 94 · Answer 3 · 2026-03-25 20:36:07

94

Views

Find a group $G$ with $a\in G$ such that $|a|=6$ but $C_G(a)\neq C_G(a^3)$.

Published on 25 Mar 2026 - 20:36

score 47 · Answer 4 · 2019-01-02 15:27:06

47

Views

Find $f\in L^p(0,1)$, but $f\notin L^q(0,1)$, $p < q$

Published on 02 Jan 2019 - 15:27

score 99 · Answer 5 · 2019-01-03 05:46:44

99

Views

A wrong counter example (on distance and compactness)

Published on 03 Jan 2019 - 5:46

score 59 · Answer 6 · 2019-01-03 16:26:38

59

Views

Does equal probability of rank imply two random variables symmetric around median?

Published on 03 Jan 2019 - 16:26

score 69 · Answer 7 · 2026-03-26 12:52:47

69

Views

Example of diagonalisable matrix with given property

Published on 26 Mar 2026 - 12:52

score 319 · Answer 8 · 2026-03-26 14:18:43

319

Views

Example of sheaf on $\mathrm{Ring}$ that does not come from $\mathrm{Sch}$.

Published on 26 Mar 2026 - 14:18

score 535 · Answer 9 · 2019-01-06 04:42:24

535

Views

Does there exist a continous surjective map between $\mathbb R^2\to S^1$

Published on 06 Jan 2019 - 4:42

score 691 · Answer 10 · 2026-03-25 22:03:42

691

Views

Classification of covering spaces for spaces that are not locally path connected: counterexamples?

Published on 25 Mar 2026 - 22:03

score 442 · Answer 11 · 2026-03-27 13:30:44

442

Views

Is there a group with $2$ generators having exactly $17$ subgroups of index three?

Published on 27 Mar 2026 - 13:30

score 174 · Answer 12 · 2019-01-06 15:02:14

174

Views

"Natural" occurences of finite nonabelian groups (outside of group theory)

Published on 06 Jan 2019 - 15:02

score 606 · Answer 13 · 2026-03-25 12:28:25

606

Views

Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

Published on 25 Mar 2026 - 12:28

score 343 · Answer 14 · 2026-03-25 10:21:56

343

Views

What constructions of "elementary" mathematics are actually functors?

Published on 25 Mar 2026 - 10:21

score 145 · Answer 15 · 2019-01-09 22:39:28

145

Views

Example of $a,~b\in G$ such that $ab\in H\leq G$ and $a^2b^2\notin H.$

Published on 09 Jan 2019 - 22:39

List Question

Are uniformly equivalent metrics with the same bounded sets Holder equivalent?

Why doesn't the definition "$p$ is called 'prime' if $p\mid ab\implies p\mid a\,\text{ or }\,p\mid b$" hold up when we square numbers?

Find a group $G$ with $a\in G$ such that $|a|=6$ but $C_G(a)\neq C_G(a^3)$.

Find $f\in L^p(0,1)$, but $f\notin L^q(0,1)$, $p < q$

A wrong counter example (on distance and compactness)

Does equal probability of rank imply two random variables symmetric around median?

Example of diagonalisable matrix with given property

Example of sheaf on $\mathrm{Ring}$ that does not come from $\mathrm{Sch}$.

Does there exist a continous surjective map between $\mathbb R^2\to S^1$

Classification of covering spaces for spaces that are not locally path connected: counterexamples?

Is there a group with $2$ generators having exactly $17$ subgroups of index three?

"Natural" occurences of finite nonabelian groups (outside of group theory)

Construct a quadrilateral, not a parallelogram, in which pair of opposite angles and a pair of opposite sides are equal.

What constructions of "elementary" mathematics are actually functors?

Example of $a,~b\in G$ such that $ab\in H\leq G$ and $a^2b^2\notin H.$

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