Email this article A Note on Minimal Separating Function Sets
- Authors: Buzyakova R.1, Okunev O.2
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Affiliations:
- Aff1
- Facultad de Ciencias Físico-Matematicas
- Issue: Vol 40, No 2 (2019)
- Pages: 149-155
- Section: Article
- URL: https://journal-vniispk.ru/1995-0802/article/view/203886
- DOI: https://doi.org/10.1134/S1995080219020057
- ID: 203886
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Abstract
We study point-separating function sets that are minimal with respect to the property of being separating. We first show that for a compact space X having a minimal separating function set in Cp(X) is equivalent to having a minimal separating collection of functionally open sets in X. We also identify a nice visual property of X2 that may be responsible for the existence of a minimal separating function family for X in Cp(X). We then discuss various questions and directions around the topic.
About the authors
Raushan Buzyakova
Aff1
Author for correspondence.
Email: Raushan_Buzyakova@yahoo.com
United States, Miami, Florida
Oleg Okunev
Facultad de Ciencias Físico-Matematicas
Author for correspondence.
Email: oleg@servidor.unam.mx
Mexico, Apdo postal 1152, Puebla, Puebla, CP 72000
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