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On the role of L-Baire functions in abstract measure and integration

Published online by Cambridge University Press:  18 May 2009

Melvin J. Maron
Melvin J. Maron
Affiliation:
University of Louisville
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If X is any set and L ⊂ [ – ∞, ∞]x, the class ℬL of L-Baire functions is defined to be the smallest subclass of [ – ∞, ∞]x which contains L and is closed under the formation of monotone, pointwise, sequential limits, so that ℬL ∍ fn ↗ f or ℬL ∍ fn ↘ f ⇒ f ∊ ℬL.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 16 , Issue 1 , March 1975 , pp. 61 - 67
Copyright
Copyright © Glasgow Mathematical Journal Trust 1975

References

REFERENCES

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