A characterization of Baire one functions of two variables |
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Authors: | Michael J. Evans Paul D. Humke |
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Affiliation: | a Department of Mathematics, Washington and Lee University, Lexington, VA 24450, USA b Department of Mathematics, St. Olaf College, Northfield, MN 55057, USA |
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Abstract: | We show that every Baire class one real-valued function f of two real variables is the pointwise limit of a sequence of continuous, piecewise linear functions, all of whose vertices lie on the graph of f. |
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Keywords: | Baire class one |
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