Email this article A Note on Separating Function Sets
- Authors: Buzyakova R.1, Okunev O.2
-
Affiliations:
- Independent researcher
- Facultad de Ciencias Fisico-Matematicas
- Issue: Vol 39, No 2 (2018)
- Pages: 173-178
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/201310
- DOI: https://doi.org/10.1134/S1995080218020063
- ID: 201310
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
Keywords
About the authors
R. Buzyakova
Independent researcher
Author for correspondence.
Email: Raushan_Buzyakova@yahoo.com
United States, Miami, Florida
O. Okunev
Facultad de Ciencias Fisico-Matematicas
Email: Raushan_Buzyakova@yahoo.com
Mexico, Apdo postal 1152, Puebla, Puebla, CP, 72000
