Question

Example that a necessary condition is not sufficient. Riemann integrable

score 30 · Answer 1 · 2026-04-01 13:06:05

30

Views

Example that a necessary condition is not sufficient. Riemann integrable

Published on 01 Apr 2026 - 13:06

score 62 · Answer 2 · 2026-04-03 07:31:50

62

Views

Symmetric and transitive but not reflexive relation on the integers

Published on 03 Apr 2026 - 7:31

score 137 · Answer 3 · 2023-05-14 22:17:02

137

Views

Is $\mathbb{Q}\times \mathbb{Q}$ closed in $\mathbb{R^2}$?

Published on 14 May 2023 - 22:17

score 44 · Answer 4 · 2026-03-26 12:53:34

44

Views

Find comparable topologies on $X$ and $Y$ such that there exists $f:X⟶Y$ which is continuous or open with respect two but not the others.

Published on 26 Mar 2026 - 12:53

score 40 · Answer 5 · 2023-05-18 18:55:32

Question on sequences of functions in $f_n,g_n\in L^\infty\left([0,1],\mathcal B\left([0,1]\right),\lambda\right)$ s. t. $f_ng_n\not\to fg$ in $L^2$

score 112 · Answer 6 · 2026-03-28 23:57:54

112

Views

$\mathbb Z[x_n]$ is always a UFD?

Published on 28 Mar 2026 - 23:57

score 260 · Answer 7 · 2026-03-28 05:23:18

260

Views

Conjecture improvement of Bunyakovsky integral inequality $\int_{0}^{I}g(t)dt\leq J$

Published on 28 Mar 2026 - 5:23

score 36 · Answer 8 · 2023-05-21 16:07:01

36

Views

Primitive root of unity: $\text{|} \{ (a^n + a^{p-2-n}) \text{ mod } p \mid \ 0 \le n \le \frac{p-3}{2} \} \text{|}= \frac{p-1}{2}$

Published on 21 May 2023 - 16:07

score 49 · Answer 9 · 2023-05-22 17:35:41

49

Views

Example of a ring where two elements have the same square but neither is plus or minus the other

Published on 22 May 2023 - 17:35

score 53 · Answer 10 · 2023-05-23 17:36:27

53

Views

Example of a ring with zero divisors but with the biunique squares property.

Published on 23 May 2023 - 17:36

score 79 · Answer 11 · 2023-05-24 18:10:52

79

Views

Can the pre-image of a non-measurable set be measurable?

Published on 24 May 2023 - 18:10

score 59 · Answer 12 · 2023-05-24 22:26:28

59

Views

Implications of the continuum hypothesis outside set theory

Published on 24 May 2023 - 22:26

score 79 · Answer 13 · 2023-05-25 16:06:06

79

Views

If the graph of a measurable function is dense in $[0,1]\times[0,1]$, can the pre-image of a non-measurable set be measurable?

Published on 25 May 2023 - 16:06

score 106 · Answer 14 · 2026-03-25 04:38:23

106

Views

Finite CW-complex with finite homotopy groups

Published on 25 Mar 2026 - 4:38

score 289 · Answer 15 · 2023-05-26 17:27:08

289

Views

Does this explicit and bijective measurable function exist and satisfy my motivation?

Published on 26 May 2023 - 17:27

List Question

Example that a necessary condition is not sufficient. Riemann integrable

Symmetric and transitive but not reflexive relation on the integers

Is $\mathbb{Q}\times \mathbb{Q}$ closed in $\mathbb{R^2}$?

Find comparable topologies on $X$ and $Y$ such that there exists $f:X⟶Y$ which is continuous or open with respect two but not the others.

Question on sequences of functions in $f_n,g_n\in L^\infty\left([0,1],\mathcal B\left([0,1]\right),\lambda\right)$ s. t. $f_ng_n\not\to fg$ in $L^2$

$\mathbb Z[x_n]$ is always a UFD?

Conjecture improvement of Bunyakovsky integral inequality $\int_{0}^{I}g(t)dt\leq J$

Primitive root of unity: $\text{|} \{ (a^n + a^{p-2-n}) \text{ mod } p \mid \ 0 \le n \le \frac{p-3}{2} \} \text{|}= \frac{p-1}{2}$

Example of a ring where two elements have the same square but neither is plus or minus the other

Example of a ring with zero divisors but with the biunique squares property.

Can the pre-image of a non-measurable set be measurable?

Implications of the continuum hypothesis outside set theory

If the graph of a measurable function is dense in $[0,1]\times[0,1]$, can the pre-image of a non-measurable set be measurable?

Finite CW-complex with finite homotopy groups

Does this explicit and bijective measurable function exist and satisfy my motivation?

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