Towards higher topology

0544168 - MÚ 2023 RIV NL eng J - Článek v odborném periodiku
Di Liberti, Ivan
Towards higher topology.
Journal of Pure and Applied Algebra. Roč. 226, č. 3 (2022), č. článku 106838. ISSN 0022-4049. E-ISSN 1873-1376
Grant CEP: GA ČR(CZ) GX20-31529X
Institucionální podpora: RVO:67985840
Klíčová slova: topological space * higher topology * Scott adjunction
Obor OECD: Pure mathematics
Impakt faktor: 0.8, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.jpaa.2021.106838

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.
Trvalý link: http://hdl.handle.net/11104/0321218