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- W3047996900 abstract "Measure theory discusses the well known theorem: if X is a metric space and μ is a Caratheodory outer measure, that is, μ ( A u B ) = μ ( α ) + μ ( B ) whenever dist ( A , B ) > 0 ), then every open set is μ -measurable. This chapter discusses several similar theorems in topological spaces. All outer measures will be defined on the system of all subsets of a space X . A set A⊂X is called μ -measurable, where μ is an outer measure, if μ ( E ) = μ ( E ∪ ∪ A ) + μ ( E − A ) for any E ⊂ X ." @default.
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- W3047996900 date "1968-01-01" @default.
- W3047996900 modified "2023-09-27" @default.
- W3047996900 title "On measurable sets in topological spaces" @default.
- W3047996900 doi "https://doi.org/10.21136/cpm.1968.108663" @default.
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