理论数学

Vol.1 No.2 (July 2011)

局部θ加细空间
Locally θ Refinable Spaces

 

作者:

卞小霞

 

关键词:

θ 加细空间局部 θ 加细局部紧空间θ Refinable Spaces Locally θ Refinable Locally Compact Spaces

 

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.

文章引用:

卞小霞 (2011) 局部θ加细空间。 理论数学, 1, 51-53. doi: 10.12677/pm.2011.12011

 

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