We construct a canonical extension for strong proximity lattices in order to give an algebraic, point-free description of a finitary duality for stably compact spaces.
In 1937 Marshall Stone extended his celebrated representation theorem for Boolean algebras to distributive lattices. In modern terminology, the representing topological spaces are...
A topological space is Noetherian iff every open is compact. Our starting point is that this notion generalizes that of well-quasi order, in the sense that an Alexandroff-discrete...
Abstract. In a decision tree model, (n log2 n m i=1 ni log2 ni + n) is known to be a lower bound for sorting a multiset of size n containing m distinct elements, where the ith dist...