Mathematica Eterna
Open Access

Abstract

On paracompact spaces, projectively inductively closed functors, and dimension

Zhurayev T.F

We prove that projectively inductively closed (p.i.c. -) functors of a finite degree satisfy the logarithmic law for dimension dim of all paracompact P - spaces. We get also sufficient conditions for a preservation of weakly countable-dimensional spaces by p.i.c. - functors.