1 citations · 2 across the 6 of their papers we have counts for
7 papers
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…
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…
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…
An obstruction theory for strictly commutative algebras in positive characteristic
Oisín Flynn-Connolly
This is the first in a sequence of articles exploring the relationship between commutative algebras and -algebras in characteristic and mixed characteristic. In this…
Higher order Massey products for algebras over algebraic operads
Oisín Flynn-Connolly, José M. Moreno-Fernández
We introduce higher-order Massey products for algebras over algebraic operads. This extends the work of Fernando Muro on secondary ones. We study their basic properties and behavio…
A recognition principle for iterated suspensions as coalgebras over the little cubes operad
Oisín Flynn-Connolly, José M. Moreno-Fernández, Felix Wierstra
Our main result is a recognition principle for iterated suspensions as coalgebras over the little disks operads. Given a topological operad, we construct a comonad in pointed topol…
Three Schur functors related to pre-Lie algebras
Vladimir Dotsenko, Oisín Flynn-Connolly
We give explicit combinatorial descriptions of three Schur functors arising in the theory of pre-Lie algebras. The first of them leads to a functorial description of the underlying…