The Ramsey and the Ordering Property for Classes of Lattices and Semilattices
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DOI: 10.1007/s11083-018-9478-z
Abstract: The class of finite distributive lattices, as many other classes of structures, does not have the Ramsey property. It is quite common, though, that after expanding the structures with appropriately chosen linear orders the resulting… read more here.
Keywords: ordering property; class finite; class; distributive lattices ... See more keywords
The Ramsey property for Banach spaces and Choquet simplices, and applications
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DOI: 10.1016/j.crma.2017.11.001
Abstract: We show that the class of finite-dimensional Banach spaces and the class of finite-dimensional Choquet simplices have the Ramsey property. As an application, we show that the group Aut(G) of surjective linear isometries of the… read more here.
Keywords: choquet simplices; property banach; banach spaces; ramsey property ... See more keywords