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Towards higher topology
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SYSNO ASEP 0544168 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve WOS Title Towards higher topology Author(s) Di Liberti, Ivan (MU-W) SAI, ORCID Article number 106838 Source Title Journal of Pure and Applied Algebra. - : Elsevier - ISSN 0022-4049
Roč. 226, č. 3 (2022)Number of pages 22 s. Language eng - English Country NL - Netherlands Keywords topological space ; higher topology ; Scott adjunction Subject RIV BA - General Mathematics OECD category Pure mathematics R&D Projects GX20-31529X GA ČR - Czech Science Foundation (CSF) Method of publishing Limited access Institutional support MU-W - RVO:67985840 UT WOS 000704010100010 EID SCOPUS 85111331737 DOI 10.1016/j.jpaa.2021.106838 Annotation We categorify the adjunction between locales and topological spaces, this amounts to an adjunction between (generalized) bounded ionads and topoi. We show that the adjunction is idempotent. We relate this adjunction to the Scott adjunction, which was discussed from a more categorical point of view in [21]. We hint that 0-dimensional adjunction inhabits the categorified one. Workplace Mathematical Institute Contact Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Year of Publishing 2023 Electronic address https://doi.org/10.1016/j.jpaa.2021.106838
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