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    Revista Colombiana de Matemáticas
    Volumen 28 [ 1] ( 1994) Páginas 35-37

    The roots of a polynomial depend continuously on its coefficients

    Raul Naulin

    Carlos Pabst
    Universidad de Valparaíso, CHILE

    Abstract. An elementary proof is given of the continuous dependence of the roots of a polynomial on its coefficients.

    Palabras claves. Closed graph theorems, spaces $\Gamma _r$ and $\Lambda _r$, barrelled spaces, finitely (countably) additive vector measure, bounded vector measure, exhaustive vector measure

    Codigo AMS. 1991 Primary 11C99. Secondary 00A99.

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