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

Abstract

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 Γ-spaces. As an important tool in the latter comparison, we present a sharpening of the classical Barratt–Priddy–Quillen theorem.