局部θ加细空间 Locally θ Refinable 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.