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

Pedro Boavida de Brito, I. Moerdijk

Research output: Contribution to journalArticleAcademicpeer-review

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 €-spaces. As an important tool in the latter comparison, we present a sharpening of the classical Barratt–Priddy–Quillen theorem.
Original languageEnglish
Pages (from-to)229-265
Number of pages37
JournalJournal fur die Reine und Angewandte Mathematik
Volume760
DOIs
Publication statusPublished - 2020

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