Remarks on contact relations on Boolean algebras

Speaker(s)

Professor Ivo Duentsch

Affiliation

Brock University, Kanada

Date

March 23, 2012, 2:15 p.m.

Room

room 5820

Seminar

Research Seminar of the Logic Group: Approximate reasoning in data mining

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The paradigmatic example for a contact relation is that of having non-disjoint closures for regions in  n-dimensional space. Generally, a contact relation is a binary relation on a Boolean algebra reflecting some of the properties of this example. I will exhibit a topological and an algebraic representation theorem for contact algebras, and present a solution to two problems due to Düntsch and Winter and to Dimov and Vakarelov, respectively.

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