3 papers
math.AT2026
A dendroidal approach to operadic right modules and manifold calculus
Miguel Barata
In this work we study the homotopy theory of the category of right modules over a simplicial operad via the formalism of forest spaces $…
math.AT2024
On the additivity of the little cubes operads
Miguel Barata, Ieke Moerdijk
We give a new proof of Dunn's additivity for the little -cubes operads , which has the advantage of being considerably shorter than the ones in the literature. At the end w…
math.CT2024
The right cancellation property for certain classes of dendroidal anodynes
Miguel Barata
We generalize a previous result of Stevenson to the category of dendroidal sets, yielding the right cancellation property of dendroidal inner anodynes within the class of normal mo…