On the σ-class generated by open balls

DOI10.1017/S0305004199003552zbMath0930.28003MaRDI QIDQ4264415

R. Daniel Mauldin, Steve Jackson

Publication date: 9 February 2000

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

zbMATH Keywords

Banach spacesHausdorff measureprobability measuresBorel fieldBesicovitch covering theorem\(\sigma\)-class generated by open balls

Mathematics Subject Classification ID

Normed linear spaces and Banach spaces; Banach lattices (46B99) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets) (54H05) Set functions and measures on topological spaces (regularity of measures, etc.) (28C15)

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