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Presentability of categories of localizations and analytic rings

Wern Juin Gabriel Ong, Gabriel Ribeiro

Source record

Source: arXiv

Published: Oct 15, 2026

arXiv: 2610.22494

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Source abstract

We prove that certain categories of Bousfield localizations are presentable and give explicit regular cardinals κκ for which they are κκ-presentable. As an application, we show that the category of analytic rings in the sense of Clausen and Scholze is (2ℵ0)+(2^{\aleph_0})^+-presentable.

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Presentability of categories of localizations and analytic rings — Mathematical Frontier Network