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Integration of real-valued set functions in abstract Spaces
Published online by Cambridge University Press: 09 April 2009
Extract
Let an abstract space of points x and let ℳ be a σ-field of subsets of
, that is a class of subsets of
such that (i)
∈ ℳ, (ii) if M ∈ ℳ then
— M ∈ ℳ and (iii) if {Mj} is any sequence of elements of ℳ then UjMj ∈ ℳ.
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- Copyright © Australian Mathematical Society 1964
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