Tree-likeness of inverse limits with set-valued bonding functions

被引:1
|
作者
Juarez-Villa, Leonardo [1 ]
Puga, Isabel [2 ]
机构
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Ciudad Univ, Mexico City 04510, Mexico
[2] Univ Nacl Autonoma Mexico, Fac Ciencias, Ciudad Univ, Mexico City 04510, Mexico
来源
BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA | 2023年 / 29卷 / 03期
关键词
Continuum; Inverse limit; Tree-like continuum; Set-valued function; Clump; DIMENSION;
D O I
10.1007/s40590-023-00533-z
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we establish conditions under which the inverse limits with set-valued bonding functions are tree-like continua. We show that if we consider functions whose graphs are unions of the graphs of certain finite collections of set-valued functions, we obtain tree-like continua.
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页数:14
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