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Atomized measures and semiconvex compacta

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Author(s): Nykyforchyn O.R.

Journal: Carpathian Mathematical Publications
ISSN 2075-9827

Volume: 2;
Issue: 2;
Start page: 83;
Date: 2010;
Original page

ABSTRACT
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.
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