On a theorem of Baire about lower semicontinuous functions
Keywords:quasi-metric space, semi-Lipschitz function, approximation
AbstractA 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.
How to Cite
Mustăţa, C. (2008). On a theorem of Baire about lower semicontinuous functions. Rev. Anal. Numér. ThéOr. Approx., 37(1), 71-75. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2008-vol37-no1-art8