Dendroidal spaces, Γ-spaces and the special Barratt-Priddy-Quillen theorem.

Abstract

We study the covariant model structure on dendroidal spaces, and establish direct relations to the homotopy theory of algebras over a simplicial operad as well as to the homotopy theory of special €-spaces. As an important tool in the latter comparison, we present a sharpening of the classical Barratt–Priddy–Quillen theorem.