Uniform exhaustivity of a~family of regular set functions on topological spaces
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 61-69
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{VSGU_2012_9_a6,
author = {T. A. Sribnaya},
title = {Uniform exhaustivity of a~family of regular set functions on topological spaces},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {61--69},
publisher = {mathdoc},
number = {9},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2012_9_a6/}
}
TY - JOUR AU - T. A. Sribnaya TI - Uniform exhaustivity of a~family of regular set functions on topological spaces JO - Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ PY - 2012 SP - 61 EP - 69 IS - 9 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VSGU_2012_9_a6/ LA - ru ID - VSGU_2012_9_a6 ER -
T. A. Sribnaya. Uniform exhaustivity of a~family of regular set functions on topological spaces. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 9 (2012), pp. 61-69. http://geodesic.mathdoc.fr/item/VSGU_2012_9_a6/