可数D-仿紧性的一个等价刻划及其应用
A CHARACTERIZATION OF COUNTABLY D-PARACOMPACTNESS AND ITS APPLICATION
摘要
本文引进可数D-仿紧空间,给出了它的一个等价刻划定理.作为应用,证明了可数D-仿紧性与可数S-仿紧性等价.后者则在可数情况下肯定地回答了H.Brandenburg于1985年提出的问题1.
出处
《南京大学学报(数学半年刊)》
CAS
2005年第1期123-127,共5页
Journal of Nanjing University(Mathematical Biquarterly)
基金
AMS,江苏省教育厅自然科学基金
参考文献8
-
1Pareek C M. Moore Spaces, Semi-Metric Spaces and Continuous Mappings Connected with Them[J].Canad.J.Math, 1972, 24: 1033-1042.
-
2Chaber J. On d-Paracompactness and Related Properties[J]. Fund. Math, 1984, 122: 175-186.
-
3Brandenburg H. On D-Paracompact Spaces[J]. Top.and its Appl, 1985, 20: 17-27.
-
4Mizokami T. On D-Paracompact σ-Spaces[J]. Tsukuba J.Math, 1991, 15(2): 425-449.
-
5Gao G. The Theory of Topological Spaces[M]. Beijing: Science Press. 2000(in Chinese).
-
6Kramer T R. A Note on Countably Subparacompact Spaces[J]. Pacific.J.Math, 1973, 46: 209-213.
-
7Brandenburg H. Separating Closed Sets by Continuous Mappings into Developable Spaces[J]. Canad.J. Math,1981, 33: 1420-1431.
-
8Brandenburg H. Some Characterizations of Developable Spaces[J]. Proc.A.M.S, 1980, 80: 157-161.