Dendroidal spaces, Gamma-spaces and the special Barratt-Priddy-Quillen theorem
classification
🧮 math.AT
keywords
spacesbarratt-priddy-quillendendroidalgammahomotopyspecialtheoremtheory
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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 $\Gamma$-spaces. As an important tool in the latter comparison, we present a sharpening of the classical Barratt-Priddy-Quillen theorem.
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