Stable homotopy hypothesis in the Tamsamani model

We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories model stable 1-types.

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Bibliographische Detailangaben
Veröffentlicht in:	Topology and its applications 2022-07, Vol.316, p.108106, Article 108106
Hauptverfasser:	Moser, Lyne, Ozornova, Viktoriya, Paoli, Simona, Sarazola, Maru, Verdugo, Paula
Format:	Artikel
Sprache:	eng
Schlagworte:	Spectra Stable homotopy hypothesis Symmetric monoidal categories Tamsamani n-categories
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Beschreibung
Zusammenfassung:	We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories model stable 1-types.
ISSN:	0166-8641 1879-3207
DOI:	10.1016/j.topol.2022.108106