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Extending to a model structure is not a ...

Droz, Jean-Marie...

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Extending to a model structure is not a first-order property by Droz, Jean-Marie ( Author )

Content Provider	Lemonjar Open Access
Publisher	Australian National University
Publication Date	04-08-2023
Summary	Let $\mathcal{C}$ be a finitely bicomplete category and $\mathcal{W}$ a subcategory. We prove that the existence of a model structure on $\mathcal{C}$ with $\mathcal{W}$ as subcategory of weak equivalence is not first order expressible. Along the way we characterize all model structures where $\mathcal{C}$ is a partial order and show that these are determined by the homotopy categories.
ISBN	-
Item Type	Article
File Type	pdf
File Size	29.34 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	http://arxiv.org/abs/1410.6127

Citation

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AMA 11th EditionReferences

Droz, Jean-Marie. Extending to a model structure is not a first-order property. Australian National University. August 04, 2023. Accessed August 15, 2025. https://online.provdatabase.com/cite/11143

APA 7th EditionReferences

Droz, Jean-Marie. (2023). Extending to a model structure is not a first-order property. Australian National University. https://online.provdatabase.com/cite/11143

Chicago 17th EditionReferences

Droz, Jean-Marie. Extending to a model structure is not a first-order property. Australian National University. 2023. https://online.provdatabase.com/cite/11143

HarvardReferences

Droz, Jean-Marie. (2023). Extending to a model structure is not a first-order property. [Online]. Australian National University. Available from: https://online.provdatabase.com/cite/11143. (Accessed 15 August 2025).

Harvard AustraliaReferences

Droz, Jean-Marie, 2023, Extending to a model structure is not a first-order property, Australian National University, viewed 15 August 2025, <https://online.provdatabase.com/cite/11143>

MLA 9th EditionWorks Cited

Droz, Jean-Marie. Extending to a model structure is not a first-order property. Australian National University, 2023. PROV Database, https://online.provdatabase.com/cite/11143.

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