As proved in [16], there exists a duality ?t between the category HLC of
locally compact Hausdorff spaces and continuous maps, and the category DHLC
of complete local contact algebras and appropriate morphisms between them.
In this paper, we introduce the notions of weight wa and of dimension dima
of a local contact algebra, and we prove that if X is a locally compact
Hausdorff space then w(X) = wa(?t(X)), and if, in addition, X is normal, then
dim(X) = dima(?t(X)).
On dimension andweight of a local contact algebra
