Topogenous and Nearness Structures on Categories
| Autor: | David Holgate, Minani Iragi, Ando Razafindrakoto |
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| Rok vydání: | 2016 |
| Předmět: |
Discrete mathematics
Pure mathematics Algebra and Number Theory General Computer Science 010102 general mathematics 0102 computer and information sciences 01 natural sciences Theoretical Computer Science Morphism 010201 computation theory & mathematics Mathematics::Category Theory Theory of computation Closure operator 0101 mathematics Neighbourhood (mathematics) Axiom Mathematics |
| Zdroj: | Applied Categorical Structures. 24:447-455 |
| ISSN: | 1572-9095 0927-2852 |
| DOI: | 10.1007/s10485-016-9455-x |
| Popis: | We introduce topogenous orders on a general category and demonstrate that they are equivalent to neighbourhood operators and subsume both closure and interior operators. By looking at the basic properties of so-called strict morphisms relative to a topogenous order the ease of working with their axioms and the concurrent generalisation of both interior and closure is evident. In closing we consider Herrlich’s concept of nearness in a category and how it interacts with topogenous orders and syntopogenous structures. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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