| Autor: |
Holgate, David, Iragi, Minani, Razafindrakoto, Ando |
| Zdroj: |
Applied Categorical Structures; Oct2016, Vol. 24 Issue 5, p447-455, 9p |
| Abstrakt: |
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. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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