Geodesic
Density in the space of topological measures
S. V. Butler1
1 Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall 1409 West Green Street Urbana, IL 61801, U.S.A.
Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 239-251.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/fm174-3-4
Keywords: topological measures formerly quasi measures set functions generalize measures correspond certain non linear functionals space continuous functions paper consider relationships between various families topological measures given space particular prove density theorems involving classes simple representable extreme topological measures measures hence giving approximating various topological measures members different classes

S. V. Butler 1

1 Department of Mathematics University of Illinois at Urbana-Champaign 273 Altgeld Hall 1409 West Green Street Urbana, IL 61801, U.S.A. 
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S. V. Butler. Density in the space of topological measures. Fundamenta Mathematicae, Tome 174 (2002) no. 3, pp. 239-251. doi : 10.4064/fm174-3-4. http://geodesic.mathdoc.fr/articles/10.4064/fm174-3-4/

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