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Towards a Contextual Topology
by
Christian Sacarea
TU Darmstadt
On a formal context, we are mainly interested in defining a topology which allows objects to be approximated by their attributes. In a first step, we introduce metric contexts, where the metric acts between the set of objects and that of attributes. In a second step, uniform contexts are defined and several properties of these are studied. These constructions generate a so-called contextual topology, which has a characteristic feature: every object has a neighbourhood base in the attribute set of the given context. Dually, every attribute has a neighbourhood base in the object set of the given context.
Date received: January 2, 2001
Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafo-47.