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cs.LO2026
Final coalgebras over R-modules
Oisín Flynn-Connolly, Henning Basold, Chase Ford
Final coalgebras and the coinduction principle for coalgebras over -modules, where is a commutative ring, are essential in determining the denotational behaviour of various…
math.CT2026
Enriched coalgebras are sometimes comonadic
Oisín Flynn-Connolly
We introduce an enriched notion of a coalgebra over an operad P in a symmetric monoidal V-category C. When C is semicartesian and P is unital, we construct a V-endofunctor on C ass…
cs.LO2026
Central Limits via Dilated Categories
Henning Basold, Oisín Flynn-Connolly, Chase Ford +1
The Central Limit Theorem (CLT) establishes that sufficiently large sequences of independent and identically distributed random variables converge in probability to a normal distri…