局部θ加细空间
Locally θ Refinable Spaces

作者: 卞小霞 :盐城工学院基础部,盐城;

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。

Abstract: 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

参考文献

[1] M. Eisenberg. Topology. New York: University of Massachusetts, 1974: 315-316.

[2] Engelking. General topology. Poland: Panstwowe Wydawnictwo Naukowe, 1975.

[3] 高国士. 拓扑空间论[M]. 北京: 科学出版社, 2000.

[4] 朱培勇. 遗传次亚紧空间[J]. 数学进展, 1996, 42(4): 299-304.

[5] 葛英. 关于弱θ加细空间的闭L原象[J]. 数学研究与评论, 1994, 14(3): 426-428.

分享
Top