The de Groot dual for general collections of sets
نویسنده
چکیده
A topology is de Groot dual of another topology, if it has a closed base consisting of all its compact saturated sets. Until 2001 it was an unsolved problem of J. Lawson and M. Mislove whether the sequence of iterated dualizations of a topological space is finite. In this paper we generalize the author’s original construction to an arbitrary family instead of a topology. Among other results we prove that for any family C ⊆ 2 it holds C = C. We also show similar identities for some other similar and topology-related structures. Date: June 8, 2004
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تاریخ انتشار 2005