Publication details

Vopěnka's principle in ∞-categories

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Authors

LO MONACO Giulio

Year of publication 2024
Type Article in Periodical
Magazine / Source Journal of Pure and Applied Algebra
MU Faculty or unit

Faculty of Science

Citation
web https://doi.org/10.1016/j.jpaa.2024.107633
Doi http://dx.doi.org/10.1016/j.jpaa.2024.107633
Description 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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