meaning of scott closed
1. Scott-closed A set S, a subset of D, is Scott-closed if 1 If Y is a subset of S and Y is directed then lub Y is in S and 2 If y <= s in S then y is in S. I. e. a Scott-closed set contains the lubs of its directed subsets and anything less than any element. 2 says that S is downward closed or left closed. "<=" is written in LaTeX as sqsubseteq.
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