Stable homotopy hypothesis in the Tamsamani model

Lyne Moser; Viktoriya Ozornova; Simona Paoli; Maru Sarazola; Paula Verdugo

doi:10.1016/j.topol.2022.108106

Stable homotopy hypothesis in the Tamsamani model

Lyne Moser
, Viktoriya Ozornova
, Simona Paoli
, Maru Sarazola
, Paula Verdugo

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

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.

Original language	English (US)
Article number	108106
Journal	Topology and its Applications
Volume	316
DOIs	https://doi.org/10.1016/j.topol.2022.108106
State	Published - Jul 1 2022
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2022 Elsevier B.V.

Keywords

Spectra
Stable homotopy hypothesis
Symmetric monoidal categories
Tamsamani n-categories

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10.1016/j.topol.2022.108106

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title = "Stable homotopy hypothesis in the Tamsamani model",

abstract = "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.",

keywords = "Spectra, Stable homotopy hypothesis, Symmetric monoidal categories, Tamsamani n-categories",

author = "Lyne Moser and Viktoriya Ozornova and Simona Paoli and Maru Sarazola and Paula Verdugo",

note = "Publisher Copyright: {\textcopyright} 2022 Elsevier B.V.",

year = "2022",

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day = "1",

doi = "10.1016/j.topol.2022.108106",

language = "English (US)",

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T1 - Stable homotopy hypothesis in the Tamsamani model

AU - Moser, Lyne

AU - Ozornova, Viktoriya

AU - Paoli, Simona

AU - Sarazola, Maru

AU - Verdugo, Paula

PY - 2022/7/1

Y1 - 2022/7/1

N2 - 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.

AB - 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.

KW - Spectra

KW - Stable homotopy hypothesis

KW - Symmetric monoidal categories

KW - Tamsamani n-categories

UR - https://www.scopus.com/pages/publications/85130051605

UR - https://www.scopus.com/pages/publications/85130051605#tab=citedBy

U2 - 10.1016/j.topol.2022.108106

DO - 10.1016/j.topol.2022.108106

M3 - Article

AN - SCOPUS:85130051605

SN - 0166-8641

VL - 316

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 108106

ER -

Stable homotopy hypothesis in the Tamsamani model

Abstract

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Keywords

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