On a theorem of Baire about lower semicontinuous functions


  • Costică Mustăţa Tiberiu Popoviciu Institute of Numerical Analysis, Romania




quasi-metric space, semi-Lipschitz function, approximation
Abstract views: 281


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.


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How to Cite

Mustăţa, C. (2008). On a theorem of Baire about lower semicontinuous functions. Rev. Anal. Numér. Théor. Approx., 37(1), 71–75. https://doi.org/10.33993/jnaat371-877