超拓扑空间的超局部紧性

Supra-local Compactness of Supra-topological Spaces

将拓扑空间中的局部紧性引入到超拓扑空间中,讨论了超拓扑空间中的超局部紧性。利用类比和分析的方法,给出了超局部紧空间的定义,并对超局部紧空间的相关性质进行了讨论,研究了超局部紧空间中超闭子空间的性质,以及超局部紧空间与超紧空间、超正则空间的关系。

By introducing local compactness in topological spaces into supra-topological spaces,the supra-local compactness in supra-topological spaces was discussed.Through analogy and analysis,supra-locally compact space was defined,its properties were explored,and the properties of hyper-closed subspace were studied,and the relationship between supra-locally compact space,supra-compact space and ultra-regular space were defined.