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math.AT2022
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…
math.AT2022
On the homotopy fixed points of Maurer-Cartan spaces with finite group actions
José M. Moreno-Fernández, Felix Wierstra
We develop the basic theory of Maurer-Cartan simplicial sets associated to (shifted complete) algebras equipped with the action of a finite group. Our main result assert…