Some Constructions in Abstract Measure Theory
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 860-866
Voir la notice de l'article provenant de la source Cambridge University Press
In this paper we construct two examples which elucidate the relationships between several σ-algebras that arise in measure-theoretic constructions on locally compact spaces and groups. For any space X let (X) be the Borelσ-algebra on X, i.e., the smallest σ-algebra of subsets of X which contains the family of all closed subsets of X. Let δ (X) be the smallest δ-ring of subsets of X which contains every compact subset of X, where by a δ-ring we mean a collection of subsets of X which is closed under the formation of countable intersections, finite unions and relative complements. Let σ(X) be the smallest σ-ring of subsets of X which contains all compact subsets of X, where by a σ-ring we mean a collection of subsets of X which is closed under the formation of countable unions, finite intersections and relative complements.
Lutzer, D. J. Some Constructions in Abstract Measure Theory. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 860-866. doi: 10.4153/CJM-1975-093-6
@article{10_4153_CJM_1975_093_6,
author = {Lutzer, D. J.},
title = {Some {Constructions} in {Abstract} {Measure} {Theory}},
journal = {Canadian journal of mathematics},
pages = {860--866},
year = {1975},
volume = {27},
number = {4},
doi = {10.4153/CJM-1975-093-6},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1975-093-6/}
}
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