PreprintCC BY-NC-ND 4.0arXiv
Presentability of categories of localizations and analytic rings
Abstract
We prove that certain categories of Bousfield localizations are presentable and give explicit regular cardinals κ for which they are κ-presentable. As an application, we show that the category of analytic rings in the sense of Clausen and Scholze is (2ℵ0)+-presentable.
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BibTeX
@misc{ong2026presentability,
title = {{Presentability of categories of localizations and analytic rings}},
author = {Wern Juin Gabriel Ong and Gabriel Ribeiro},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.22494},
eprint = {2610.22494},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.22494},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Presentability of categories of localizations and analytic rings
AU - Wern Juin Gabriel Ong
AU - Gabriel Ribeiro
PY - 2026
DA - 2026/10/15
PB - arXiv
DO - 10.48550/arxiv.2610.22494
UR - https://arxiv.org/abs/2610.22494
AB - We prove that certain categories of Bousfield localizations are presentable and give explicit regular cardinals κ for which they are κ-presentable. As an application, we show that the category of analytic rings in the sense of Clausen and Scholze is (2^ℵ_0)^+-presentable.
ER -