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Integration of real-valued set functions in abstract Spaces

Published online by Cambridge University Press:  09 April 2009

P. D. Finch
Affiliation:
Australian National University, Canberra.
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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1964

References

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