一类强单调T_2空间
A Class of Strong Monotone T_2 Spaces
摘要
证明了具有垫状对基的拓朴空间是强单调T2.
We prove if the space X has cushioned pair base, then X is a strong monotone T_2 space.
出处
《喀什师范学院学报》
2004年第3期1-2,共2页
Journal of Kashgar Teachers College
关键词
强单调T^2算子
强单调T2空间
垫状对基
Strong monotone T_2 operator
Strong monotone T_2 spaces
Cushioned pair base
参考文献3
-
1[1]Buck R E.Some weaker monotone separation and basis properties[J]. Topology Appl,1996,69:1-12.
-
2[2]Buck R E, Heath R W, Zenor P L.Strong monotone and nested normality[J]. Topology Proc, 2001-2002,26:67-82.
-
3许玉铭,江守礼.一类单调正规空间[J].山东大学学报（理学版）,2003,38(3):4-5. 被引量：1
二级参考文献7
-
1J G Ceder, Some Generalizations of Metric Spaces[J]. Pacific J. Math, 1961, 11: 105- 125.
-
2G Gruenhage, Stratifiable Spaces are M2[J]. Top Proc, 1976, 1:221 - 226.
-
3H K Junnila, Neighbomets[J]. Pacific J. Math, 1978, 76:83 - 108.
-
4T Mizokami, A Shimane. On the M3 Versus M1 Problem[J]. Top. Appl, 2000, 105:1 - 13.
-
5G Gruenhage. Generalized Metric Spaces[C]. Handbook of Set-Theoretic Topology[L]. North-Holland: Amsterdam, 1984, 432-501.
-
6H H Hung. Metrization and stratification of squares of topological spaces[J]. Top. Appl, 1998, 82:205 -210.
-
7R W Heath, D J Imtzer, P L Zenor. Monotonically normal spaces[J]. Trans. Amer. Math. Soc, 1973, 178:481-493.
-
1赵斌.由强单调T_2空间导出的一类新算子(英文)[J].喀什师范学院学报,2005,26(3):1-3.
-
2许玉铭,江守礼.正则m_2空间及其刻划[J].山东大学学报（理学版）,2005,40(6):71-72.
-
3许玉铭,江守礼.一类单调正规空间[J].山东大学学报（理学版）,2003,38(3):4-5. 被引量：1
-
4许玉铭,江守礼.线性层空间的一个刻画[J].Journal of Mathematical Research and Exposition,2007,27(2):355-358.
