On bases of closure operators on complete lattices
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Date
2023-04-03
Authors
Šlapal, Josef
ORCID
0000-0001-8843-6842Advisor
Referee
Mark
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Publisher
Taylor & Francis
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Abstract
We study closure operators on complete lattices and define for them the concepts of closed and open bases as well as that of a neighborhood base. Some properties of these concepts are studied including relationships between them. In particular, wefind sufficient conditions under which the properties are analogous to those known for topological spaces.
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Citation
Quaestiones Mathematicae. 2023, vol. 46, issue 4, p. 781-790.
https://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2041758
https://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2041758
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Peer-reviewed
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Published version
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en
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
http://creativecommons.org/licenses/by-nc-nd/4.0/