Topological measures (formerly "quasi-measures") are set functions that generalize measures and correspond to certain non-linear functionals on the space of continuous functions. The goal of this paper is to consider relationships between various families of topological measures on a given space. In particular, we prove density theorems involving classes of simple, representable, extreme topological measures and measures, hence giving a way of approximating various topological measures by members of different classes.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm174-3-4,
author = {S. V. Butler},
title = {Density in the space of topological measures},
journal = {Fundamenta Mathematicae},
volume = {173},
year = {2002},
pages = {239-251},
zbl = {1027.28017},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm174-3-4}
}
S. V. Butler. Density in the space of topological measures. Fundamenta Mathematicae, Tome 173 (2002) pp. 239-251. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm174-3-4/