On continuously irreducible continua

被引：6

作者：

Macias, Sergio ^{[1
]}

机构：

[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico

来源：

TOPOLOGY AND ITS APPLICATIONS | 2009年 / 156卷 / 14期

关键词：

Continuous decomposition; Continuously irreducible continuum; Continuum; Homogeneous continuum; Hyperspace; Idempotent; Irreducible continuum; Point T-symmetric; Set function T; T-additive; Type lambda continuum; Upper semicontinuous decomposition; Z-set; SET FUNCTION-T; MAPS;

D O I：

10.1016/j.topol.2009.01.024

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study continuously irreducible continua and characterize them as those continua of type; for which the set function T is continuous. Using results by Mohler and Oversteegen, we present a new family of one-dimensional continua for which the set function T is continuous and no element of the family contains a pseudo-arc. We study the hyperspaces of these continua. (c) 2009 Elsevier B.V. All rights reserved.

引用

页码：2357 / 2363

页数：7

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