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