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Vopěnka's principle in ∞-categories

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LO MONACO Giulio

Rok publikování 2024
Druh Článek v odborném periodiku
Časopis / Zdroj Journal of Pure and Applied Algebra
Fakulta / Pracoviště MU

Přírodovědecká fakulta

Citace
www https://doi.org/10.1016/j.jpaa.2024.107633
Doi http://dx.doi.org/10.1016/j.jpaa.2024.107633
Popis In this article, the interplay between Vopenka's principle, as well as its weaker counterpart, and presentable infinity-categories is studied. Analogous statements, arising after replacing categories with infinity-categories in the original ones, are introduced and compared to these. Further, the attention is focused on the question of to what extent the consequences that (weak) Vopenka's principle have on the detection of reflective subcategories of presentable categories can be generalized to infinity-categories.
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