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This is part of a series of follow-up questions to: Which objects in a topos such as the étale topos are "classifying spaces" of their fundamental groups?. See also Classifying spaces in $\operatorname{Ét}_{\operatorname{Spec}(\mathbb{Z}[x_{1},...,x...

This is a follow-up to the question: Which objects in a topos such as the étale topos are "classifying spaces" of their fundamental groups?Let $S=\operatorname{Spec}(R)$ be an open subscheme of $\operatorname{Spec}(\mathcal{O}_{K})$ for some Galois extension...

To set this up, I want to give an attempt at a proof of Lyapunov's property that if you take the difference of two trajectories that begin at slightly different points $x_0+\epsilon$ and $x_0$ that you wind up with $\phi_t(x_0+\epsilon) - \phi_t(x_0...

I have been working on this diophantine problem:
$Q^2 - ((6n+3)^2 + t) \cdot Q + 2(6n+3)(36n^3 + 54n^2 + 27n - 4) = 0$
For arbitrary values of $n$ from $n = 1,2,3,4,5,6,7,8,9,10,11,12,13,14$, the respective desired values of $(Q,t) = (9, 154), (20, 626), (42,1136), (72, 1797), (66, 4958), (156, 3574), (215, 4544), (312, 4936), (354, 7042), (332, 12176), (299, 20804)...