Disjunctive complement
From Encyclopedia of Mathematics
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=18795
Disjunctive complement. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Disjunctive_complement&oldid=18795
This article was adapted from an original article by V.I. Sobolev (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article