Abstract:
Conditions for the uniform exhaustivity of a family of regular set functions defined on an algebra $\Sigma$ of subsets of a $\sigma$-topological space and taking values in arbitrary topological space are found.
Keywords:regular set functions, $\sigma$-topological space, uniformly exhaustive set functions, uniformly quasi-triangular set functions, composition set functions, outer measures, additive set functions.
Fulltext:
PDF file (115 kB)
The content is published under the terms of the Creative Commons Attribution 4.0 International License