Borel measures in nonseparable metric spaces
type: Item
instance of: scholarly article
title: Borel measures in nonseparable metric spaces
zbMATH Open document ID: 0597.28019
DOI: 10.1007/BF01061636
author: V. V. Buldygin
author: Alexander Kharazishvili
published in: Ukrainian Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The authors give a slightly simplified proof of the following theorem: Let E be a metric space whose topological weight is not a real-valued measurable cardinal. Then any \(\sigma\)-finite, \(\sigma\)-additive Borel measure on E is concentrated on a closed separable subset. Several applications are discussed.
Mathematics Subject Classification ID: 28C15
Mathematics Subject Classification ID: 28C10
Mathematics Subject Classification ID: 60B05
Mathematics Subject Classification ID: 54H05
zbMATH DE Number: 3962055
zbMATH Keywords: metric space
zbMATH Keywords: Borel measure
zbMATH Keywords: closed separable subset
MaRDI profile type: Publication
cites work: Q5560061
cites work: CONVERGENCE OF MEASURES AND RANDOM PROCESSES
cites work: Q3037724
cites work: Q3657121
full work available at URL: https://doi.org/10.1007/bf01061636
OpenAlex ID: W2019158287
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description: scientific article; zbMATH DE number 3962055