Nonincrease of density and weak density under weakly normal functors
R. B. BeshimovInstitute of Mathematics and Information Technologies, Academy of Sciences of Uzbekistan, Baku, Uzbekistan
ABI
Abstract
In this paper, it is proved that if a covariant functor ℱ: Comp → Comp is weakly normal, then d(ℱ β (X)) ≤ d(X) and wd(ℱ β (X)) ≤ wd(X) for any infinite Tychonoff space X.