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- W4254316059 abstract "We prove the following theorem, which answers a question originally raised by J. Kaniewski and R. Pol: Theorem. If $mathfrak {X}$ is a point-finite family of subsets of a metric space $X$ such that the union of every subfamily is a Borel set of $X$, then there exists a fixed countable ordinal $alpha$ such that each member of $mathfrak {X}$ is a Borel set of class $alpha$ in $X$. The proof is given in the general setting of abstract measurable spaces. An application is made to the study of measurable selectors for compact-valued mappings and to the Borel measurability of graphs." @default.
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- W4254316059 date "1981-10-01" @default.
- W4254316059 modified "2023-10-17" @default.
- W4254316059 title "Point-Finite Borel-Additive Families are of Bounded Class" @default.
- W4254316059 doi "https://doi.org/10.2307/2043532" @default.
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