Applications of Luzinian separation principles (non-separable case)
Zygmunt Frolik, P. Holický (1983)
Fundamenta Mathematicae
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Displaying similar documents to “Luzin sets are additive”
Applications of Luzinian separation principles (non-separable case)
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Zdeněk Frolík (1970)
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Space of Baire functions. I
J. E. Jayne (1974)
Annales de l'institut Fourier
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Several equivalent conditions are given for the existence of real-valued Baire functions of all classes on a type of -analytic spaces, called disjoint analytic spaces, and on all pseudocompact spaces. The sequential stability index for the Banach space of bounded continuous real-valued functions on these spaces is shown to be either , or (the first uncountable ordinal). In contrast, the space of bounded real-valued Baire functions of class 1 is shown to contain closed linear subspaces...