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Published online by Cambridge University Press: 20 November 2018
A subset K of a lattice is said to be directed if for any a, b∊K there is c∊K with c ≥ a, b. A complete lattice L is called upper continuous if
for every directed subset (aα) and every element b.
The following is a slight improvement of [4; Anmerkung 1. 11, p. 11].