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A Note on Separating Function Sets


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Resumo

We study separating function sets. We find some necessary and sufficient conditions for Cp(X) or Cp2 (X) to have a point-separating subspace that is a metric space with certain nice properties. One of the corollaries to our discussion is that for a zero-dimensional X, Cp(X) has a discrete point-separating space if and only if Cp2 (X) does.

Sobre autores

R. Buzyakova

Independent researcher

Autor responsável pela correspondência
Email: Raushan_Buzyakova@yahoo.com
Estados Unidos da América, Miami, Florida

O. Okunev

Facultad de Ciencias Fisico-Matematicas

Email: Raushan_Buzyakova@yahoo.com
México, Apdo postal 1152, Puebla, Puebla, CP, 72000

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Declaração de direitos autorais © Pleiades Publishing, Ltd., 2018