Abstract
We investigate Darboux-like properties for real-valued, Baire one functions defined on Euclidean n-space which belong to the classes of Gibson and weakly Gibson functions recently introduced and investigated by Kenneth Kellum.
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Evans, M.J., Humke, P.D.: Generalizations of Young’s Theorem to real functions of several variables, Rend. Circ. Mat. Palermo, Ser. II, 58 (2009), 287–296
Kellum, K.R.: Functions that separate X × \( \Re \), Houston J. Math. (to appear)
Young, W.H.: A theorem in the theory of functions of a real variable, Rend. Circ. Mat. Palermo, Ser. I, 24 (1907), 187–192
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Evans, M.J., Humke, P.D. Baire one, Gibson and weakly Gibson real functions of several real variables. Rend. Circ. Mat. Palermo 59, 47–51 (2010). https://doi.org/10.1007/s12215-010-0002-6
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DOI: https://doi.org/10.1007/s12215-010-0002-6