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On a theorem of Baire about lower semi-continuous functions

Abstract


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.

Authors

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

Keywords

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

Paper coordinates

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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About this paper

Journal

Revue d’Analyse Numer Theorie Approximation

Publisher Name

Publisher House of the Romanian Academy

Print ISSN
Online ISSN

google scholar link

2008

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