Thesetofaxiomsproveditselftobeveryreasonablefrommanyviewpoints;atalloftheseaspectswelookedcarefully.Thetheoryofcontinuouslatticesanditsconsequenceswereextremelysatisfyingforordertheory,algebra,topology,topologicalalgebra,andanalysis.Inallofthesefields,applicationsofcontinuouslattices