02:20
3

I want to show that a function $f:\mathbb{R} \to \mathbb{R}$ that satisfies the Darboux property (Intermediate Value Theorem) and $f:\mathbb{R}\setminus\mathbb{Q} \to \mathbb{R}$ is inyective , is continuous.
I know that I somehow need to use Baire’s Category Theorem, but I don’t know how.
Please...
19 hours later…
21:08
-2

The Cohen-Lenstra heuristic is a principle of arithmetic statistics saying that a finite abelian group $G$ should appear "in nature" with probability inversely proportional to $|Aut(G)|$.
In Cohen and Lenstra's original paper (see here for the paper) they discuss this heuristic and related conjec...
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