Browsing Faculty of Natural Science by Author "Holgate, David B."
Now showing items 1-5 of 5
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Interior operators and their applications
(University of the Western Cape, 2019)Categorical closure operators were introduced by Dikranjan and Giuli in [DG87] and then developed by these authors and Tholen in [DGT89]. These operators have played an important role in the development of Categorical ... -
Quasi-uniform and syntopogenous structures on categories
(University of the Western Cape, 2019)In a category C with a proper (E; M)-factorization system for morphisms, we further investigate categorical topogenous structures and demonstrate their prominent role played in providing a uni ed approach to the theory ... -
Topogenous orders and their applications on lattices
(University of the Western Cape, 2024)In his influential book, [Cs´a63] A. Cs´asz´ar developed the well-known theory of syntopogenous ´ structures on a set. His intention was to create a comprehensive framework that simultaneously encompasses the study of ... -
Topogenous Structures on Categories
(University of the Western Cape, 2016)Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ... -
Topogenous structures on categories
(University of the Western Cape, 2016)Although the interior operators correspond to a special class of neighbourhood operators, the closure operators are not nicely related to the latter. We introduce and study the notion of topogenous orders on a category ...
