Every interior algebra can be represented as a preorder field with its interior and closure operators corresponding to those of the Alexandrov topology induced by the preorder.
32.
The closure of sets with respect to some operation defines a "'closure operator "'on the subsets of " X ".
33.
Closure operators are also called " "'hull operators "'", which prevents confusion with the " closure operators " studied in topology.
34.
Closure operators are also called " "'hull operators "'", which prevents confusion with the " closure operators " studied in topology.
35.
In accordance with such a point of view, Tarski, Brown, Suszko and other authors proposed a general approach to logic based on closure operator theory.
36.
The associated closure operator on subgroups of G is \ bar H = HN; the associated kernel operator on subgroups of G / N is the identity.
37.
A strongly minimal set, equipped with the closure operator given by algebraic closure in the model-theoretic sense, is an infinite matroid, or pregeometry.
38.
*PM : proof of properties of the closure operator, id = 5638-- WP guess : proof of properties of the closure operator-- Status:
39.
*PM : proof of properties of the closure operator, id = 5638-- WP guess : proof of properties of the closure operator-- Status:
40.
The closure operator " closes " a given set by mapping it to a closed set which contains the original set and all points close to it.
