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8
votes
Reference request: Heyting algebra structure on Catalan numbers
I found a reference: "Dyck algebras, interval temporal logic and posets of intervals", which discusses these Heyting algebras (though not from a topos-theoretic perspective).
14
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1
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389
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Reference request: Heyting algebra structure on Catalan numbers
I've noticed that for every natural number $n\in\mathbb{N}$, there is a finite Heyting algebra with cardinality $C(n)$, where $C(n)$ is the $n$th Catalan number,
$$1,1,2,5,14,42,132,\ldots$$
I'm looki …