Atomized measures and semiconvex compacta


  • O.R. Nykyforchyn Vasyl Stefanyk Precarpathian National University, 57 Shevchenka str., 76018, Ivano-Frankivsk, Ukraine


semiconvex compactum, measure, atom, monad
Published online: 2010-12-30


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.

How to Cite
Nykyforchyn, O. Atomized Measures and Semiconvex Compacta. Carpathian Math. Publ. 2010, 2, 83-100.