A Note on Minimal Separating Function Sets
- 作者: Buzyakova R.1, Okunev O.2
-
隶属关系:
- Aff1
- Facultad de Ciencias Físico-Matematicas
- 期: 卷 40, 编号 2 (2019)
- 页面: 149-155
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203886
- DOI: https://doi.org/10.1134/S1995080219020057
- ID: 203886
如何引用文章
详细
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.
作者简介
Raushan Buzyakova
Aff1
编辑信件的主要联系方式.
Email: Raushan_Buzyakova@yahoo.com
美国, Miami, Florida
Oleg Okunev
Facultad de Ciencias Físico-Matematicas
编辑信件的主要联系方式.
Email: oleg@servidor.unam.mx
墨西哥, Apdo postal 1152, Puebla, Puebla, CP 72000
![](/img/style/loading.gif)