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Two classes of Darboux-like, Baire one functions of two variables

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Abstract

Among the many characterizations of the class of Baire one, Darboux realvalued functions of one real variable, the 1907 characterization of Young and the 1997 characterization of Agronsky, Ceder, and Pearson are particularly intriguing in that they yield interesting classes of functions when interpreted in the two-variable setting. We examine the relationship between these two subclasses of the real-valued Baire one defined on the unit square.

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Authors and Affiliations

  1. Washington and Lee University, Lexington, VA, 24450, USA

    Michael J. Evans & Paul D. Humke

  2. St. Olaf College, Northfield, MN, 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. Two classes of Darboux-like, Baire one functions of two variables. Czech Math J 60, 549–569 (2010). https://doi.org/10.1007/s10587-010-0036-0

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  • DOI: https://doi.org/10.1007/s10587-010-0036-0

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