Department of Mathematics
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Rings and Modules Seminar
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S. Roddy
roddy(at)brandonu(dot)ca
Department of Mathematics and Computer Science, Brandon University
Tuesday, January 19, 2016
Abstract:
The well-known Frankl's Conjecture (FC) has been translated into many different dialects of Discrete Mathematics including Lattice Theory. I believe FC was originally given in terms of Union-Closed families of sets. Arguably the most natural way to think about FC is via the `natural representation of a finite lattice'. I will review this elementary material. I will then introduce some natural notions of reducibility for u.c-families and hence for finite lattices. I believe that counting/characterizing irreducible u.c-families could shed light on FC and, maybe, other things. |