Stable homotopy hypothesis in the Tamsamani model

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

doi:10.1016/j.topol.2022.108106

Stable homotopy hypothesis in the Tamsamani model

Lyne Moser, Viktoriya Ozornova^*, Simona Paoli, Maru Sarazola, Paula Verdugo Hernandez

^*Corresponding author for this work

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

1 Citation (Scopus)

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
Article number	108106
Pages (from-to)	1-40
Number of pages	40
Journal	Topology and its Applications
Volume	316
DOIs	https://doi.org/10.1016/j.topol.2022.108106
Publication status	Published - 1 Jul 2022

Keywords

Spectra
Stable homotopy hypothesis
Symmetric monoidal categories
Tamsamani n-categories

Access to Document

10.1016/j.topol.2022.108106

Cite this

@article{2644fbb5b7d2484c819ae9ef20a1b4dd,

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 {Verdugo Hernandez}, Paula",

year = "2022",

month = jul,

day = "1",

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

language = "English",

volume = "316",

pages = "1--40",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier",

}

TY - JOUR

T1 - Stable homotopy hypothesis in the Tamsamani model

AU - Moser, Lyne

AU - Ozornova, Viktoriya

AU - Paoli, Simona

AU - Sarazola, Maru

AU - Verdugo Hernandez, 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 - http://www.scopus.com/inward/record.url?scp=85130051605&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2022.108106

DO - 10.1016/j.topol.2022.108106

M3 - Article

AN - SCOPUS:85130051605

SN - 0166-8641

VL - 316

SP - 1

EP - 40

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 108106

ER -

Stable homotopy hypothesis in the Tamsamani model

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this