Simplicial model structures on pro-categories

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Simplicial model structures on pro-categories. / Blom, Thomas; Moerdijk, Ieke.

I: Algebraic & Geometric Topology, Bind 23, Nr. 8, 2023, s. 3849-3908.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Blom, T & Moerdijk, I 2023, 'Simplicial model structures on pro-categories', Algebraic & Geometric Topology, bind 23, nr. 8, s. 3849-3908. https://doi.org/10.2140/agt.2023.23.3849

APA

Blom, T., & Moerdijk, I. (2023). Simplicial model structures on pro-categories. Algebraic & Geometric Topology, 23(8), 3849-3908. https://doi.org/10.2140/agt.2023.23.3849

Vancouver

Blom T, Moerdijk I. Simplicial model structures on pro-categories. Algebraic & Geometric Topology. 2023;23(8):3849-3908. https://doi.org/10.2140/agt.2023.23.3849

Author

Blom, Thomas ; Moerdijk, Ieke. / Simplicial model structures on pro-categories. I: Algebraic & Geometric Topology. 2023 ; Bind 23, Nr. 8. s. 3849-3908.

Bibtex

@article{2ce0145953174d42844c0437cf07db3f,
title = "Simplicial model structures on pro-categories",
abstract = "We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing “profinite” analogues of known model categories. Our construction quickly recovers Morel{\textquoteright}s model structure for pro-p spaces and Quick{\textquoteright}s model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behavior and its relation to Bousfield localization. We compare our construction to the ∞–categorical approach to ind- and pro-categories in an appendix.",
author = "Thomas Blom and Ieke Moerdijk",
year = "2023",
doi = "10.2140/agt.2023.23.3849",
language = "English",
volume = "23",
pages = "3849--3908",
journal = "Algebraic and Geometric Topology",
issn = "1472-2747",
publisher = "Geometry & Topology Publications",
number = "8",

}

RIS

TY - JOUR

T1 - Simplicial model structures on pro-categories

AU - Blom, Thomas

AU - Moerdijk, Ieke

PY - 2023

Y1 - 2023

N2 - We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing “profinite” analogues of known model categories. Our construction quickly recovers Morel’s model structure for pro-p spaces and Quick’s model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behavior and its relation to Bousfield localization. We compare our construction to the ∞–categorical approach to ind- and pro-categories in an appendix.

AB - We describe a method for constructing simplicial model structures on ind- and pro-categories. Our method is particularly useful for constructing “profinite” analogues of known model categories. Our construction quickly recovers Morel’s model structure for pro-p spaces and Quick’s model structure for profinite spaces, but we will show that it can also be applied to construct many interesting new model structures. In addition, we study some general properties of our method, such as its functorial behavior and its relation to Bousfield localization. We compare our construction to the ∞–categorical approach to ind- and pro-categories in an appendix.

U2 - 10.2140/agt.2023.23.3849

DO - 10.2140/agt.2023.23.3849

M3 - Journal article

VL - 23

SP - 3849

EP - 3908

JO - Algebraic and Geometric Topology

JF - Algebraic and Geometric Topology

SN - 1472-2747

IS - 8

ER -

ID: 373794437