On bases of closure operators on complete lattices
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Šlapal, Josef
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Mark
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Taylor & Francis
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0000-0001-8843-6842 Altmetrics
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.
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.
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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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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en
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Except where otherwised noted, this item's license is described as Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International