Question

Is my proof of Cantor-Bernstein-Schröder theorem correct?

score 586 · Answer 1 · 2018-04-30 09:02:13

586

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Is my proof of Cantor-Bernstein-Schröder theorem correct?

Published on 30 Apr 2018 - 9:02

score 347 · Answer 2 · 2026-03-25 17:42:12

347

Views

Prove that $f^2$ is Lebesgue integrable if and only if $\sum_{k=1}^\infty k \cdot m\{x\in A: |f(x)|>k\}<\infty.$

Published on 25 Mar 2026 - 17:42

score 79 · Answer 3 · 2026-03-25 01:23:44

79

Views

Is this proof correct: A nonstandard-statement transfers exactly iff it's an internal set.

Published on 25 Mar 2026 - 1:23

score 30 · Answer 4 · 2026-03-27 00:59:04

30

Views

Proof verification: Let $N,P_1,P_2$ be submodules of $M$, show that $P_1 = P_2$

Published on 27 Mar 2026 - 0:59

score 226 · Answer 5 · 2026-03-25 12:54:55

226

Views

How many injective functions from $\{5,6,7,8,9\}$ to itself map $5$ and $6$ to another number?

Published on 25 Mar 2026 - 12:54

score 81 · Answer 6 · 2026-03-25 12:48:54

81

Views

Calculating $Cov(e^ {B_t} ,e^{B_s})$ for the Brownian motion.

Published on 25 Mar 2026 - 12:48

score 3.8k · Answer 7 · 2026-04-01 10:01:31

3.8k

Views

What's the Probability of a drunk man open a door with $n$ possible keys?

Published on 01 Apr 2026 - 10:01

score 5.2k · Answer 8 · 2018-04-30 18:21:52

5.2k

Views

Prove that between two unequal rational numbers there is another rational

Published on 30 Apr 2018 - 18:21

score 179 · Answer 9 · 2026-03-25 17:20:07

179

Views

Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$

Published on 25 Mar 2026 - 17:20

score 30 · Answer 10 · 2018-04-30 21:15:40

30

Views

Is the natural mapping $X\:\hat\otimes_\pi\:Y\to\mathfrak L(Y',X)$ injective?

Published on 30 Apr 2018 - 21:15

score 37 · Answer 11 · 2026-03-31 11:26:47

37

Views

Must regular maps of quasi-proj alg sets be equal if they agree on a dense subset?

Published on 31 Mar 2026 - 11:26

score 180 · Answer 12 · 2026-03-23 10:19:18

180

Views

Proving a perfect map preserves metrizability

Published on 23 Mar 2026 - 10:19

score 57 · Answer 13 · 2018-05-01 07:08:11

57

Views

Verify MCQ options $|f(x)-f(y)|<7|x-y|^{201}$

Published on 01 May 2018 - 7:08

score 197 · Answer 14 · 2026-03-25 03:01:35

197

Views

Prove $\Bbb{N}$ is infinite from Peano axioms

Published on 25 Mar 2026 - 3:01

score 102 · Answer 15 · 2026-03-25 01:23:48

102

Views

Where is the mistake in the argument? (And two conjectures)

Published on 25 Mar 2026 - 1:23

List Question

Is my proof of Cantor-Bernstein-Schröder theorem correct?

Prove that $f^2$ is Lebesgue integrable if and only if $\sum_{k=1}^\infty k \cdot m\{x\in A: |f(x)|>k\}<\infty.$

Is this proof correct: A nonstandard-statement transfers exactly iff it's an internal set.

Proof verification: Let $N,P_1,P_2$ be submodules of $M$, show that $P_1 = P_2$

How many injective functions from $\{5,6,7,8,9\}$ to itself map $5$ and $6$ to another number?

Calculating $Cov(e^ {B_t} ,e^{B_s})$ for the Brownian motion.

What's the Probability of a drunk man open a door with $n$ possible keys?

Prove that between two unequal rational numbers there is another rational

Integrating $\int_0^{2\pi} \frac1{a\cos(t)+b\sin(t)+c}dt$ with $\sqrt{a^2+b^2}=1<c$

Is the natural mapping $X\:\hat\otimes_\pi\:Y\to\mathfrak L(Y',X)$ injective?

Must regular maps of quasi-proj alg sets be equal if they agree on a dense subset?

Proving a perfect map preserves metrizability

Verify MCQ options $|f(x)-f(y)|<7|x-y|^{201}$

Prove $\Bbb{N}$ is infinite from Peano axioms

Where is the mistake in the argument? (And two conjectures)

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