标题:
局部θ加细空间Locally θ Refinable Spaces
作者:
卞小霞
关键字:
θ 加细空间, 局部 θ 加细, 局部紧空间θ Refinable Spaces; Locally θ Refinable; Locally Compact Spaces
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-07-20
摘要:
在θ 加细的基础上定义了三种局部θ 加细性,给出了三者等价的充分条件,分别讨论了它们的一些性质,结果表明θ 加细空间某些好的性质在相应的局部θ加细空间中仍成立,从而将θ 加细空间的理论进行了推广,使覆盖性质理论更加丰富。
Three kinds of locally θ refinable spaces are defined. A sufficient condition on their equivalence is given and their properties are discussed respectively. Some good properties in θ refinable spaces are extended to locally θ refinable spaces. The theory of θ refinable space is expanded again, so covering theory is made more abundant.