arXiv Open Access 2025

Condensed mathematics through compactological spaces

Franziska Böhnlein Benjamin Bruske Sven-Ake Wegner

Lihat Sumber

Abstrak

In their 2022 lecture notes on condensed sets, Clausen and Scholze mentioned in a remark that the important subclass of quasiseparated condensed sets is equivalent to the category of so-called compactological spaces defined by Waelbroeck in the 1960s. In this paper we survey the latter category in detail, we give a rigorous proof of Clausen and Scholze's claim, and we establish that condensed sets are a formal categorical completion of Waelbroeck's compactological spaces. The latter answers a question asked by Hanson in 2023 and permits the interpretation of compactological sets as an 'elementary' approach to condensed mathematics.

Topik & Kata Kunci

math.FA math.AT math.CT math.LO

Penulis (3)

Franziska Böhnlein

Benjamin Bruske

Sven-Ake Wegner

Format Sitasi

APA MLA BibTeX

Böhnlein, F., Bruske, B., Wegner, S. (2025). Condensed mathematics through compactological spaces. https://arxiv.org/abs/2512.14612

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓