50 citations · 231 across the 36 of their papers we have counts for
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Moduli spaces of algebras over non-symmetric operads
Fernando Muro
In this paper we study spaces of algebras over an operad (non-symmetric) in symmetric monoidal model categories. We first compute the homotopy fiber of the forgetful functor sendin…
Homotopy units in A-infinity algebras
Fernando Muro
We show that the canonical map from the associative operad to the unital associative operad is a homotopy epimorphism for a wide class of symmetric monoidal model categories. As a…
Unital associahedra
Fernando Muro, Andrew Tonks
We construct a topological cellular operad such that the algebras over its cellular chains are the homotopy unital A-infinity algebras of Fukaya-Oh-Ohta-Ono.
Homotopy theory of non-symmetric operads
Fernando Muro
We endow categories of non-symmetric operads with natural model structures. We work with no restriction on our operads and only assume the usual hypotheses for model categories wit…