QUASI CONTINUOUS SELECTIONS OF UPPER BAIRE CONTINUOUS MAPPINGS

被引:0
作者
Matejdes, Milan [1 ]
机构
[1] Tomas Bata Univ Zlin, Dept Math, Fac Appl Informat, Stranemi 4511, Zlin 76005, Czech Republic
来源
MATEMATICKI VESNIK | 2010年 / 62卷 / 01期
关键词
Quasi-continuity; Baire continuity; usco multifunction; minimal multifunction; selection; cluster point; cluster multifunction;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper deals with the existence problem of selections for a closed valued and c-upper Baire continuous multifunction F. The main goal is to find a minimal usco multifunction intersecting F and its selection that is quasi continuous everywhere except at points of a nowhere dense set. The methods are based on properties of minimal multifunctions and a cluster multi-function generated by a cluster process with respect to the system of all sets of second category with the Baire property.
引用
收藏
页码:69 / 76
页数:8
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