List questions from proof-writing

Published on 15 Apr 2026 - 5:01

121

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Proving $m(E)<\infty\iff \forall\epsilon>0\exists\text{ compact }F\subset E: m(E)-m(F)<\epsilon$

Published on 17 Apr 2026 - 11:59

153

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Is $Y$ necessarily a subspace of $V^n$?

Published on 11 Apr 2026 - 4:36

55

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Is $\{f_{a} \mid a \in \mathbb{R}\}$ a basis for $\mathbb{R}^{\mathbb{R}}$.

Published on 16 Apr 2026 - 14:37

506

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Prove that $x^2 + x +1 = y^2$ has no positive integer solutions

Published on 16 Apr 2026 - 11:07

114

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What are some resources for learning mathematical writing?

Published on 11 Apr 2026 - 7:59

445

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Proving that $S^{1} * S^{1}$ (join) is homotopiclly equivalent to $S^{3}$.

Published on 15 Apr 2026 - 6:47

233

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Showing that $X * Y$ is homotopically equivalent to $\sum (X \wedge Y)$ .

Published on 15 Apr 2026 - 0:00

145

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Prove that $S^m * S^n$ is homotopically equivalent to $S^{m+n+1}$

Published on 16 Apr 2026 - 12:16

362

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Proving if A for all x then B using contrapositive

Published on 13 Apr 2026 - 2:28

272

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The ratio of the arc lenght to the radius

Published on 17 Apr 2026 - 4:52

216

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Symbolic representation of orthogonality/independence in proofs

Published on 10 Apr 2026 - 2:12

51

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Symmetric PDF proof

Published on 15 Apr 2026 - 22:00

79

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How to prove this property?

Published on 12 Apr 2026 - 0:31

145

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Does $\left\{\frac{p^a}{q^b}:p,q\in\mathbb{Z}\right\}=\left\{\frac{j^{\gcd(a,b)}}{k^{\gcd(a,b)}}:j,k\in\mathbb{Z}\right\}$ for $a,b\in\mathbb{N}$?

Published on 15 Apr 2026 - 19:28

List Question

Matrix-vector inner products

Proving $m(E)<\infty\iff \forall\epsilon>0\exists\text{ compact }F\subset E: m(E)-m(F)<\epsilon$

Is $Y$ necessarily a subspace of $V^n$?

Is $\{f_{a} \mid a \in \mathbb{R}\}$ a basis for $\mathbb{R}^{\mathbb{R}}$.

Prove that $x^2 + x +1 = y^2$ has no positive integer solutions

What are some resources for learning mathematical writing?

Proving that $S^{1} * S^{1}$ (join) is homotopiclly equivalent to $S^{3}$.

Showing that $X * Y$ is homotopically equivalent to $\sum (X \wedge Y)$ .

Prove that $S^m * S^n$ is homotopically equivalent to $S^{m+n+1}$

Proving if A for all x then B using contrapositive

The ratio of the arc lenght to the radius

Symbolic representation of orthogonality/independence in proofs

Symmetric PDF proof

How to prove this property?

Does $\left\{\frac{p^a}{q^b}:p,q\in\mathbb{Z}\right\}=\left\{\frac{j^{\gcd(a,b)}}{k^{\gcd(a,b)}}:j,k\in\mathbb{Z}\right\}$ for $a,b\in\mathbb{N}$?

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