Compactness via prime semilattices.
Compactness via prime semilattices.
Compactness is certainly one of the most fruitful conceptsof general topology. Topologically inspired notions of compactness have alsoproven useful in logic (see [3], [9]) and measure theory (see [8]). In this paperwe introduce a definition of compactness for subsets of a prime semilattice.Prime semilattices were introduced by Balbes [2] and …