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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). (1995-02-03) sqsubseteq). (1995-02-03) スポンサード リンク
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