A Note on Minimal Separating Function Sets
- Autores: Buzyakova R.1, Okunev O.2
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Afiliações:
- Aff1
- Facultad de Ciencias Físico-Matematicas
- Edição: Volume 40, Nº 2 (2019)
- Páginas: 149-155
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203886
- DOI: https://doi.org/10.1134/S1995080219020057
- ID: 203886
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Resumo
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.
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Sobre autores
Raushan Buzyakova
Aff1
Autor responsável pela correspondência
Email: Raushan_Buzyakova@yahoo.com
Estados Unidos da América, Miami, Florida
Oleg Okunev
Facultad de Ciencias Físico-Matematicas
Autor responsável pela correspondência
Email: oleg@servidor.unam.mx
México, Apdo postal 1152, Puebla, Puebla, CP 72000