Atomized measures and semiconvex compacta

A class of atomized measures on compacta, which are generalizations of regular real-valued measures, is introduced. It has also been shown that the space of normalized (weakly) atomized measures on a compactum is a free object over this compactum in the category of (strongly) semiconvex compacta.

Bibliographic Details
Main Author: O. R. Nykyforchyn
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2013-01-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Online Access:http://journals.pu.if.ua/index.php/cmp/article/view/62