
details
Title
Configurations in and coproducts of Priestley spaces
Abstract Priestley spaces are compact ordered order separated spaces; the famous Priestley duality links the resulting category with that of distributive lattices. The behaviour of finite connected subposets (configurations) in such a space reflects in algebraic, sometimes welldefined, properties of the corresponding lattice.
Configurations in coproducts of Priestley spaces (suitable  and not yet completely understood  compactifications of their disjoint sums) are not necessarily inherited from the configurations of the summands, and this phenomenon is connected with the above mentioned lattice links. The situation will be explained.
Also, a few open problems will be mentioned, including a possibly Godeltype theorem characterizing acyclic configurations.
Speaker(s)
Ales Pultr (Charles Univ., Prague, Czech Republic)
Date
April 22, 2008 Time 14.30 Room
Sala 5.5

