洪海玲 张国芳
(吉林师范大学数学学院 吉林四平 136000)
相对迭代星紧的像与原像性质
洪海玲 张国芳
(吉林师范大学数学学院 吉林四平 136000)
本文将给出相对迭代星紧的定义,并且研究相对迭代星紧空间在连续映射下的像性质及其在完备映射下的原像的性质。
相对星紧;连续;相对星紧;完备映射
[1] Myung Hyun Cho,Junhui Kim. Topological operations of iterated star-covering properties[J]. Bull. Korean Math. Soc.. 40(2003), No. 4, pp. 723-731.
[2] R.Engelking. General Topology[M]. Heldermann. 1989.
[3] E.van Douwen, G.M.Reed, A.W. Roscoe et al. Star covering properties[J]. Topology Appl. 39(1991), 79-103.
[4] M.Matveev. A survey on star covering properties[J]. Topology Atlas preprint, April 15, 1998.
[5] Arhangel’skii A.V. and Genedi H.M.M., Beginning of the Theory of Relative Topological Properties[J], General Topology: Space and Mapping. MGU, Moscow, (1989), 3-48 (in Russian).
The properties of image and preimage of relative iterated starcompactness
Hong Hai-ling, Zhang Guo-fang
(College of Mathematics, Jilin Normal University, Siping Jilin, 136000, China)
In this paper,we provide the definition of relative iterated starcompactness, and study the properties of image of continuous mapping and of preimage of perfect mapping.
Relative
O1-0
A
1000-9795(2014)04-0031-02
[责任编辑:董 维]
2014-02-17
洪海玲(1988-),女,吉林蛟河人,从事一般拓扑学的研究。
张国芳(1976-),女,吉林九台人,副教授,从事一般拓扑学的研究。
吉林省科技厅青年科研基金项目(201201081)。
starcompactness; Relative
starcompactness; Continuous mapping; Perfect mapping.