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Disjunctive complement

From Encyclopedia of Mathematics
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of a set

The set of all elements of a vector lattice which are disjunctive with the set (cf. Disjunctive elements). For any , ; moreover, if is a conditionally-complete vector lattice (cf. Conditionally-complete lattice), then is the smallest component of containing .

How to Cite This Entry:
Disjunctive complement. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Disjunctive_complement&oldid=41807
This article was adapted from an original article by V.I. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article