Baire one functions and their sets of discontinuity

A characterization of functions in the first Baire class in terms of their sets of discontinuity is given. More precisely, a function f:R→R is of the first Baire class if and only if for each ϵ>0 there is a sequence of closed sets {Cn}∞n=1 such that Df=⋃∞n=1Cn and ωf(Cn)<ϵ for each n where ωf...

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Main Authors: Fenecios, Jonald P, Cabral, Emmanuel A, Racca, Abraham P
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出版: Archīum Ateneo 2016
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在線閱讀:https://archium.ateneo.edu/mathematics-faculty-pubs/64
https://eudml.org/doc/276786
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