Decomposition Properties of Hyperspace Topologies

被引：0
作者：
L. Holà
S. Levi
机构：
[1] Slovak Academy of Sciences,Mathematical Institute
[2] Università di Milano,Dipartimento di Matematica
来源：
Set-Valued Analysis | 1997年 / 5卷
关键词：
hit-and-miss topology; upper and lower parts; hemi-Δ; Urysohn family; Vietoris topology; Fell topology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let X be a T1 topological space and Δ a nonempty family of closed subsets of X. We study the hit-and-miss hyperspace topology generated by Δ in terms of its upper and lower parts, focusing on first and second countability and quasi-uniformization. We also obtain some new results on the Vietoris and Fell topologies.
引用
收藏
页码：309 / 321
页数：12
相关论文
共 19 条
[1]  
Beer G.(1993)On the Fell topology Set-Valued Anal. 1 69-80
[2]  
Beer G.(1993)On hit-and-miss hyperspace topologies Comment. Math. Univ. Carolin. 34 717-728
[3]  
Tamaki R.(1994)The infimal value functional and the uniformization of hit-and-miss hyperspace topologies Proc. Amer. Math. Soc. 122 601-611
[4]  
Beer G.(1971)Note sur topologie exponentielle Fund. Math. 71 27-41
[5]  
Tamaki R.(1995)On hit-and-miss hyperspace topologies Rend. Accad. Sci. Fis. Mat. Napoli (4) 62 103-124
[6]  
Cčban M.(1985)Quasi-uniformization of hyperspaces and convergence of nets of semicontinuous multifunctions J. Math. Anal. Appl. 112 347-370
[7]  
Di Maio G.(1993)On the infimum of the Hausdorff and Vietoris topologies Proc. Amer. Math. Soc. 118 971-978
[8]  
Holà L.(1951)Topologies on spaces of subsets Trans. Amer. Math. Soc. 71 152-182
[9]  
Francaviglia S.(1966)ℵ J. Math. Mech. 15 983-1002
[10]  
Lechichi A.(1966)-spaces Fund. Math. 59 159-169
12