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Heyting locally small spaces and Esakia Duality
Authors:
- Artur Piękosz
Abstract
We develop the theory of Heyting locally small spaces, including Stone-like dualities such as a new version of Esakia duality and a system of concrete isomorphisms and equivalences. In such a way, we continue building tame topology, realising Grothendieck’s ideas. We use up-spectral spaces and define the standard up-spectralification of a Kolmogorov locally small space. This research gives more understanding of locally definable spaces over structures with topologies.
- Record ID
- CUTc9cb7bb3de594e52bfc91cde8039f3dc
- Publication categories
- ;
- Author
- Journal series
- Symmetry, ISSN , e-ISSN 2073-8994, Monthly
- Issue year
- 2023
- Vol
- 15
- No
- 7
- Pages
- [1-21]
- Article number
- 1342
- Other elements of collation
- tab.; Bibliografia (na s.) - 20-21; Bibliografia (liczba pozycji) - 51; Oznaczenie streszczenia - Abstr.; Numeracja w czasopiśmie - Vol. 15, Iss. 7
- Substantive notes
- This article belongs to the Special Issue Symmetry and Its Application in Differential Geometry and Topology II
- Keywords in English
- tame topology, Esakia duality, locally small space, up-spectral space
- ASJC Classification
- ; ; ;
- DOI
- DOI:10.3390/sym15071342 Opening in a new tab
- URL
- https://www.mdpi.com/2073-8994/15/7/1342 Opening in a new tab
- Language
- eng (en) English
- License
- Score (nominal)
- 70
- Score source
- journalList
- Score
- Publication indicators
- Additional fields
- Indeksowana w: Web of Science, Scopus
- Uniform Resource Identifier
- https://cris.pk.edu.pl/info/article/CUTc9cb7bb3de594e52bfc91cde8039f3dc/
- URN
urn:pkr-prod:CUTc9cb7bb3de594e52bfc91cde8039f3dc
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