A HIT-AND-MISS TOPOLOGY FOR 2X, Cn(X) AND Fn(X)

被引:0
|
作者
Espinoza, Benjamin [1 ]
Martinez-de-la-Vega, Veronica [2 ]
Martinez-Montejano, Jorge M. [2 ]
机构
[1] Univ Pittsburgh Greensburg, Dept Math, Greensburg, PA 15601 USA
[2] Univ Nacl Autonoma Mexico, Area Invest Cient Circuito Exterior, Inst Matemat, Mexico City 04510, DF, Mexico
关键词
aposyndesis; continua; hit-and-miss topology; hyperspace; Jones's function T; semi-locally connected; Vietoris topology;
D O I
10.4064/cm115-1-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A hit-and-miss topology (T-HM) is defined for the hyperspaces 2(X), C-n(X) and F-n(X) of a continuum X. We study the relationship between T-HM and the Vietoris topology and we find conditions on X for which these topologies are equivalent.
引用
收藏
页码:47 / 64
页数:18
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