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On the family of functions with a closure of its graph of measure zero. (English) Zbl 0799.26008
The authoress investigates the Baire systems (with respect to pointwise, uniform, and transfinite convergence), algebras, groups and lattices generated by the families of Darboux functions having the closure of the graphs of measure zero or nowhere dense.
MSC:
26A30 Singular functions, Cantor functions, functions with other special properties
26A21 Classification of real functions; Baire classification of sets and functions
26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable
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References:
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