关于Katuta-Junnila问题的注记
A Note of Katuta-Junnila's Problem
摘要
设空间X是σ-ortho-紧的且X的每一定向开复盖有σ-垫状加细,则X是次亚紧的,部分地回答了Katuta-Junnila问题.
It is proved that a space X is submetacompact if it is σorthocompact and each directed open cover has σcushioned refinement. KatutaJunnila's question has been partially answered.
出处
《长沙电力学院学报(自然科学版)》
2003年第1期4-6,共3页
JOurnal of Changsha University of electric Power:Natural Science
参考文献12
-
1Katuta J, Expandability and its generalizations[J]. Fund Math, 1975,87(3) :231-250.
-
2Junnila H. Three covering properties, Surveys in General Topology [ M ].New York : Academic Press, 1980.
-
3Jiang S. On Junnila's problem[J]. Q and A in General Topology, 1988,7 ( 1 ) :43-47.
-
4Yajima Y. A characterization of submetacompactness in term of products[J] . Proc Amer Math Soc, 1991,112(2) :291-296.
-
5Junnila H.On submetacompactness[J] .Topology Proc, 1978,3(3) :375-405.
-
6Junnila H. Paracompactness, metacompactness and semi-open covers[J].Proc Amer Math Soc, 1979,73(2) :244-248.
-
7Fletcher P, Lindgren W. Orthocompactness and strong cech complectness in Moorse space[J]. Duke Math, 1972,39:753-766.
-
8Scott B.Toward a product theory for orthocompactness,Studies in Topology [ M ]. New York: Academic Press, 1975.
-
9Mizokami T. Expansion of discrete and closure-preserving families[J].Proc Amer Math Soc., 1998,102:402-406.
-
10Gitting R. Some result on weak covering conditions[J]. Canad J Math,1974,26:1 152-1 156.
-
1徐忠昌.从次亚紧到次仿紧与仿紧[J].南京大学学报(数学半年刊),2001,18(2):244-250.
-
2蔡奇嵘.基-次亚紧空间[J].兰州理工大学学报,2012,38(6):149-150. 被引量:2
-
3吴利生.关于覆盖性质的乘积刻划[J].苏州大学学报(自然科学版),1995,11(3):1-4.
-
4彭良雪.关于Dσ-空间和局部ω△-空间的某些结论[J].北京理工大学学报,1997,17(1):7-10. 被引量:4
-
5李克典.近似亚紧空间的一些刻划[J].嘉应大学学报,1994(2):18-20.
-
6曹金文.亚紧空间和σ-亚紧空间的无限乘积[J].贵州师范大学学报(自然科学版),2003,21(1):44-46.
-
7蔡奇嵘,黄浩然.关于次中紧空间与序列次中紧空间的注记[J].赣南师范学院学报,2006,27(3):41-43. 被引量:2
-
8纪广月.关于次亚紧空间乘积性质的刻画[J].山西师范大学学报(自然科学版),2013,27(1):22-23.
-
9李根华,黄浩然.关于散射分解的几个结论[J].江西师范大学学报(自然科学版),2005,29(6):554-556. 被引量:1
-
10李泽君.强次亚紧空间的逆极限[J].重庆师范学院学报(自然科学版),2002,19(2):34-36.