A note on spaces that are finitely an F-space

作者：Dube Themba^*; Nsayi Jissy Nsonde

来源：Topology and Its Applications, 2016, 202: 356-365.

DOI：10.1016/j.topol.2016.01.030

• F-space
• Finitely an F-space
• Frame
• F-frame
• Finitely an F-frame

A Tychonoff space X is finitely an F-space if beta X is expressible as a union of finitely many closed F-spaces. Larson [13] has shown that, for normal spaces X, the property of being finitely an F-space can be characterized in terms of algebraic properties of the ring C(X). By extending this notion to locales, we show that the normality restriction can actually be dropped, even in spaces, and thus shaipen Larson's result.

• 出版日期2016-4-1