ON THE HYPERSPACE C(X) OF CONTINUA

被引：0

作者：

Escobedo, R. ^{[1
]}

Sanchez-Gutierrez, V. ^{[1
]}

Sanchez-Martinez, J. ^{[2
]}

机构：

[1] Benemerita Univ Autonoma Puebla, Fac Ciencias Fis Matemat, Ave San Claudio & Rio Verde,Ciudad Univ, San Manuel Puebla 72570, Pue, Mexico

[2] Univ Autonoma Chiapas, Fac Ciencias Fis & Matemat, Carretera San Fernando Km 8-5,Ciudad Univ, Tuxtla Gutieerrez 29050, Chiapas, Mexico

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2016年 / 40卷 / 02期

关键词：

Continuum; hyperspace; C*-smooth; induced mapping;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let X be a continuum. Let C(X) be the hyperspace of all closed, connected and nonempty subsets of X, with the Hausdorff metric. For a mapping f : X -> Y between continua, let C(f) : C(X) -> C(Y) be the induced mapping by f, given by C(f)(A) = f (A). In this paper we study the hyperspace C(X) = {C(A) : A epsilon C(X)} as a subspace of C(C(X)), and define an induced function C(f) between C(X) and C(Y). We prove some relationships between the functions f, C(f) and C(f) for the following classes of mapping: confluent, light, monotone and weakly confluent.

引用

页码：187 / 201

页数：15

共 11 条

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