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Generalizations of Young’s Theorem to real functions of several variables

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Abstract

In 1907 W. H. Young classified the real-valued Baire one functions on the line which have the Darboux (intermediate-value) property as those which are bilaterally approachable. Here we investigate generalizations of this theorem to the setting of real-valued Baire one functions of several variables which possess various “Darboux-like” properties.

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Authors and Affiliations

  1. Department of Mathematics, Washington and Lee University, Lexington, Virginia, 24450, USA

    Michael J. Evans & Paul D. Humke

  2. Department of Mathematics, St. Olaf College, Northfield, Minnesota, 55057, USA

    Paul D. Humke

Authors
  1. Michael J. Evans
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  2. Paul D. Humke
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Correspondence to Michael J. Evans.

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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 58, 287–296 (2009). https://doi.org/10.1007/s12215-009-0023-1

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  • DOI: https://doi.org/10.1007/s12215-009-0023-1

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