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La Semicontinuidad en el Surgimiento de la Teoría de Funciones

Author(s): Favio Vallejo

Journal: Revista Sigma
ISSN 2027-064X

Volume: VIII;
Start page: 15;
Date: 2008;
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Keywords: Function continuous | function discontinuous | semicontinuity | continuity | differentiability | classes of Baire.

In this article deals with the work of French mathematician Ren´e Baire and some historical aspects relevant to consider that led to the realm of theory functions as a branch formal mathematics. Will also discuss the concept of semicontinuity, which was instrumental in the development of Baire theory and is regarded as one of the most important concepts of analysis. Finally exhibit obtaining a continuous function "exotic" which is presumed, is differentiable at best, in a finite number of points within a narrow range.

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