Question

Example that $\lim \sup (x_n\cdot y_n)<\lim \sup (x_n)\cdot \lim \sup (y_n)$

score 589 · Answer 1 · 2026-04-03 05:23:19

589

Views

Example that $\lim \sup (x_n\cdot y_n)<\lim \sup (x_n)\cdot \lim \sup (y_n)$

Published on 03 Apr 2026 - 5:23

score 233 · Answer 2 · 2016-03-18 11:24:54

233

Views

Looking for an example of an infinite metric space $X$ such that there exist a continuous bijection $f: X \to X$ which is not a homeomorphism

Published on 18 Mar 2016 - 11:24

score 1.9k · Answer 3 · 2026-03-29 14:25:28

1.9k

Views

If $g \circ f$ is surjective, show that $f$ does not have to be surjective?

Published on 29 Mar 2026 - 14:25

score 97 · Answer 4 · 2016-03-20 07:23:43

97

Views

If $\min(\alpha,F)$ has only one root in $E$, must $\min(p(\alpha),F)$ have only one root in $E$

Published on 20 Mar 2016 - 7:23

score 86 · Answer 5 · 2016-03-20 15:08:23

86

Views

Unnatural homomorphism form domain $R$ to $Frac (R)$

Published on 20 Mar 2016 - 15:08

score 284 · Answer 6 · 2016-03-20 23:33:28

284

Views

A positive square integrable random variable whit non square integrable inverse

Published on 20 Mar 2016 - 23:33

score 81 · Answer 7 · 2026-04-03 05:21:06

81

Views

Numerical property $P(n)$ such that $\forall n P(n)$ is false but a counterexample is difficult to find

Published on 03 Apr 2026 - 5:21

score 553 · Answer 8 · 2026-03-26 19:06:42

553

Views

Counterexample for uniform integrability of an $\mathbb{L}^1$-bounded sequence

Published on 26 Mar 2026 - 19:06

score 237 · Answer 9 · 2026-03-26 16:05:08

237

Views

A uniformly integrable sequence that is not uniformly integrable in $\mathbb{L}^p$ for $p>1$

Published on 26 Mar 2026 - 16:05

score 340 · Answer 10 · 2026-03-26 16:02:37

340

Views

Example for uniformly integrable $\mathbb{L}^2$-bounded sequences

Published on 26 Mar 2026 - 16:02

score 270 · Answer 11 · 2026-04-11 09:02:35

270

Views

'Non-example' to the Lagrange theorem.

Published on 11 Apr 2026 - 9:02

score 285 · Answer 12 · 2026-04-12 01:11:26

285

Views

Showing that the field of rational functions is not dense

Published on 12 Apr 2026 - 1:11

score 425 · Answer 13 · 2026-04-10 21:06:55

425

Views

Two points of view on constructible sets

Published on 10 Apr 2026 - 21:06

score 73 · Answer 14 · 2016-03-26 01:11:05

73

Views

Can $f_n\to f$ uniformly, $f'_n\to g$ uniformly, but $f$ not being differentiable?

Published on 26 Mar 2016 - 1:11

score 100 · Answer 15 · 2026-03-30 03:03:28

100

Views

An example of ideal $I$ such that $I^{ec}\neq I$

Published on 30 Mar 2026 - 3:03

List Question

Example that $\lim \sup (x_n\cdot y_n)<\lim \sup (x_n)\cdot \lim \sup (y_n)$

Looking for an example of an infinite metric space $X$ such that there exist a continuous bijection $f: X \to X$ which is not a homeomorphism

If $g \circ f$ is surjective, show that $f$ does not have to be surjective?

If $\min(\alpha,F)$ has only one root in $E$, must $\min(p(\alpha),F)$ have only one root in $E$

Unnatural homomorphism form domain $R$ to $Frac (R)$

A positive square integrable random variable whit non square integrable inverse

Numerical property $P(n)$ such that $\forall n P(n)$ is false but a counterexample is difficult to find

Counterexample for uniform integrability of an $\mathbb{L}^1$-bounded sequence

A uniformly integrable sequence that is not uniformly integrable in $\mathbb{L}^p$ for $p>1$

Example for uniformly integrable $\mathbb{L}^2$-bounded sequences

'Non-example' to the Lagrange theorem.

Showing that the field of rational functions is not dense

Two points of view on constructible sets

Can $f_n\to f$ uniformly, $f'_n\to g$ uniformly, but $f$ not being differentiable?

An example of ideal $I$ such that $I^{ec}\neq I$

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