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arxiv: 1701.06459 · v1 · pith:OYRR2B6Vnew · submitted 2017-01-23 · 🧮 math.AT

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

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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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