Density in the space of topological measures

S. V. Butler

Fundamenta Mathematicae (2002)

  • Volume: 174, Issue: 3, page 239-251
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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S. V. Butler. "Density in the space of topological measures." Fundamenta Mathematicae 174.3 (2002): 239-251. <http://eudml.org/doc/283282>.

@article{S2002,
abstract = {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.},
author = {S. V. Butler},
journal = {Fundamenta Mathematicae},
keywords = {topological measure; -space; density theorem},
language = {eng},
number = {3},
pages = {239-251},
title = {Density in the space of topological measures},
url = {http://eudml.org/doc/283282},
volume = {174},
year = {2002},
}

TY - JOUR
AU - S. V. Butler
TI - Density in the space of topological measures
JO - Fundamenta Mathematicae
PY - 2002
VL - 174
IS - 3
SP - 239
EP - 251
AB - 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.
LA - eng
KW - topological measure; -space; density theorem
UR - http://eudml.org/doc/283282
ER -

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