Universal Lusin measurability and subfamily summable families in abelian topological groups
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- by William H. Graves PDF
- Proc. Amer. Math. Soc. 73 (1979), 45-50 Request permission
Abstract:
It is proved that if G is a Hausdorff abelian topological group with respect to topologies $\alpha \subseteq \beta$ such that $\beta$ is complete and the identity map of $(G,\alpha )$ onto $(G,\beta )$ is universally Lusin measurable, then the subfamily summable families are the same for $\alpha$ and $\beta$.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 73 (1979), 45-50
- MSC: Primary 28C10; Secondary 46G99
- DOI: https://doi.org/10.1090/S0002-9939-1979-0512056-5
- MathSciNet review: 512056