Magister Scientiae - MSc / 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 which provides a basis for categorical study of
topology. We show that they are equivalent to the categorical neighbourhood operators
and house the closure and interior operators. The natural notion of strict morphism with
respect to a topogenous order is shown to capture the known ones in the settings of
closure, interior and neighbourhood operators.
| Identifer | oai:union.ndltd.org:netd.ac.za/oai:union.ndltd.org:uwc/oai:etd.uwc.ac.za:11394/5529 |
| Date | January 2016 |
| Creators | Iragi, Minani |
| Contributors | Holgate, David B., Razafindrakoto, Ando |
| Publisher | University of the Western Cape |
| Source Sets | South African National ETD Portal |
| Language | English |
| Detected Language | English |
| Rights | University of the Western Cape |
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