New kinds of strongly zero-dimensional locales are introduced and characterized, which are different from Johnstone's, and almost all the topological properties for strongly zero-dimensional spaces have the pointl...New kinds of strongly zero-dimensional locales are introduced and characterized, which are different from Johnstone's, and almost all the topological properties for strongly zero-dimensional spaces have the pointloss localic forms. Particularly. the Stone-Cech compactification of a strongly zero-diluensional locale is stongly zero-dimensional.展开更多
基金supported by the Scientific Research Startup Foundation (No. F-875)the New Scientist Training Program (No. [2017]5733-014) of Zunyi Medical University China
基金Supported by the NSF of Chinathe SFEM of China the Project of "Excellent Scholars Crossing the Centuries" of the Ministry of Education of China
文摘New kinds of strongly zero-dimensional locales are introduced and characterized, which are different from Johnstone's, and almost all the topological properties for strongly zero-dimensional spaces have the pointloss localic forms. Particularly. the Stone-Cech compactification of a strongly zero-diluensional locale is stongly zero-dimensional.