English

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

Algebraic Topology 2017-01-24 v1

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

Keywords

Cite

@article{arxiv.1701.06459,
  title  = {Dendroidal spaces, $\Gamma$-spaces and the special Barratt-Priddy-Quillen theorem},
  author = {Pedro Boavida de Brito and Ieke Moerdijk},
  journal= {arXiv preprint arXiv:1701.06459},
  year   = {2017}
}

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34 pages