局部θ加细空间

Locally θ Refinable Spaces

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.