de Brito, P.B. and Moerdijk, I. (2020) Dendroidal spaces, $Γ$-spaces and the special Barratt-Priddy-Quillen theorem. Journal für die reine und angewandte Mathematik, 2020 (760). pp. 229-265. ISSN 1435-5345
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 $\Gamma$-spaces. As an important tool in the latter comparison, we present a sharpening of the classical Barratt-Priddy-Quillen theorem.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2018 De Gruyter. This is an author produced version of a paper subsequently published in Journal für die reine und angewandte Mathematik. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > School of Mathematics and Statistics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 18 Jun 2018 10:16 |
Last Modified: | 20 May 2021 15:52 |
Status: | Published |
Publisher: | De Gruyter |
Refereed: | Yes |
Identification Number: | 10.1515/crelle-2018-0002 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:127389 |