Lattices of Irreducibly-derived Closed Sets
نویسندگان
چکیده
منابع مشابه
Lattices of Scott-closed sets
A dcpo P is continuous if and only if the lattice C(P ) of all Scottclosed subsets of P is completely distributive. However, in the case where P is a non-continuous dcpo, little is known about the order structure of C(P ). In this paper, we study the order-theoretic properties of C(P ) for general dcpo’s P . The main results are: (i) every C(P ) is C-continuous; (ii) a complete lattice L is iso...
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ژورنال
عنوان ژورنال: Electronic Notes in Theoretical Computer Science
سال: 2019
ISSN: 1571-0661
DOI: 10.1016/j.entcs.2019.07.026