局部D-空间,αD-空间与次紧空间的积
The Products of Locally D-space,αD-space and Subcompact Space
摘要
拓扑空间称为次紧空间如果它有σ-离散的由紧子集构成的闭覆盖.局部D-空间,αD-空间与次紧空间的积空间分别还是局部D-空间,αD-空间.
A topological space is called a subcompact space if it has σ-discrete closed cover of compact subsets.The products of locally D-space,αD-space and subcompact space are separately locally D-space,αD-space.
出处
《佳木斯大学学报（自然科学版）》
CAS
2011年第6期929-930,共2页
Journal of Jiamusi University：Natural Science Edition
参考文献8
-
1A. ArhangelskiT. D -spaces and Finite Unions[ J]. Proc. Amer. Math. Soc. , 2004, 132:2163 -2170.
-
2A. Arhangelskil. D - spaces and Covering Properties[ J]. Topoiogy Appl., 2005, 146 -147(1) : 437 -449.
-
3D. K. Borges, A. C. Wehrly. A Study of D -spaces[ J ]. Topology Pro. , 1991, 1(16) :7 -15.
-
4K. R. Kramer. On the Product of Two Topological Spaces [ J ]. General Topology and Its Applications, 1976, 6 (2) : 1 - 16.
-
5何卫力.关于D-空间的研究[J].北方交通大学学报,2001,25(6):73-76. 被引量：2
-
6R.Engelking.General Topology[M].Warszawa Wa Poland,1989.
-
7吴家超,许玉铭.局部D-空间[J].山东大学学报（理学版）,2010,45(4):72-73. 被引量：1
-
8李克典,郝建丽.关于D-空间[J].数学杂志,2011,31(1):86-90. 被引量：1
二级参考文献20
-
1Van DOUWEN E, PFEFFER W F. Some properties of the Sorgenfrey line and related spaces[J]. Pacific J Math, 1979, 81 (2) :371-377.
-
2BORGES C R, WEHRLY A C. A study of D-spaces[J]. Topology Pro, 1991, 16:7-15.
-
3ARHANGEL' SKII A V. D-spaces and covering properties[J]. Topology and Its Applications, 2005, 146:437-449.
-
4刘应明.一类包含弱仿紧空间与次仿紧窄问的拓扑空间.数学学报,1977,20(3):212-214.
-
5高国士.拓扑空间论[M].北京:科学出版社,1999.
-
6Arhangel'skii A. Mappings and spaces[J]. Uspechi Mat. Nauk., 1966, 21(4): 133-184.
-
7Arhangel'skii A. D-spaces and finite unions[J]. Proc. Amer. Math. Soc., 2004, 132: 2163-2170.
-
8Arhangel'skii A, Buzyakova R Z. Addition theorems and D-spaces[J]. Comment. Math. Univ. Carolinae, 2002, 43(4): 653-663.
-
9Arhangel'skii A. D-spaces and covering properties[J]. Topology Appl., 2005, 146-147(1): 437-449.
-
10Gruenhage G. A note on D-spaces[J]. Topology Appl., 2006, 153(13): 2229 2240.
