On a theorem of Baire about lower semi-continuous functions


A theorem of Baire concerning the approximation of lower semicontinuous real valued functions defined on a metric space, by increasing sequences of continuous functions is extended to the “nonsymmetric” case, i.e. for quasi-metric spaces.


Costică Mustăţa
“Tiberiu Popoviciu” Institute of Numerical Analysis , Cluj-Napoca, Romania


Quasi-metric space, semi-Lipschitz function, approximation.

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C. Mustăţa, On a theorem of Baire about lower semi-continuous functions, Rev. Anal. Numer. Theor. Approx. 37 (2008) no. 1, 71-75.


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Revue d’Analyse Numer Theorie Approximation

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Publisher House of the Romanian Academy

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