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For questions requesting examples of a certain structure or phenomenon
-2
votes
Examples of theorems with proofs that have dramatically improved over time
Liouville's Theorem that there exists a transcendental number had its proof greatly improved by Cantor who showed that a mere counting argument suffices.
Liouville's argument needs facts about how ra …
16
votes
Big list of comonads
Given a topology on a set $X$, let $2^X$ be the poset of subsets of $X$ ordered by inclusion. Then the interior operator for the topology is a comonad on $2^X$. In fact the topologies on $X$ correspon …