Abstract
We give a characterization of set-valued mappings from\(IR^k \) into the class of real intervals admitting an ordinarily approximately continuous selection.
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Aversa V., Laczkovich M.,Extension theorems on derivatives of additive interval functions, Acta Math. Acad. Sci. Hungar.,39 (1982), 267–277.
Goffman C., Neugebauer C., Nishiura T.,Density topology and approximate continuity, Duke Math. J.,28 (1961), 497–506.
Goffman C., Waterman D.,Approximately continuous transformations, Proc. Am. Math. Soc.,12 (1961), 116–121.
Petruska G., Laczkovich M.,Baire 1 functions, approximately continuous functions, and derivatives, Acta Math. Acad. Sci. Hungar.,25 (1974), 189–212.
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Research supported by Italian M.P.I. funds.
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Vetro, P. Ordinarily approximately continuous selections. Rend. Circ. Mat. Palermo 32, 415–420 (1983). https://doi.org/10.1007/BF02848543
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DOI: https://doi.org/10.1007/BF02848543