A Note on Distributivity of Open Filter Domains
Huang Fang-ping · Journal of Sichuan University · 2006
Filiters and open filters are useful utilities to explore strctures of domains.In this paper,it is proved that for a continuous distributive semilattice L,OFilt(L) is a distributive lattice iff L is stably continuous.And an example is given to show that in the general case the distributivity of L cannot imply that of OFilt(L).