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

共 19 条

[1]

Bellamy David P., 1983, CONTINUA DECOMPOSITI, P1

[2] CONTINUUM NEIGHBORHOODS AND FILTERBASES [J].

BELLAMY, DP ;

DAVIS, HS .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 27 (02) :371-+

[3] CONTINUA FOR WHICH SET FUNCTION T IS CONTINUOUS [J].

BELLAMY, DP .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 151 (02) :581-&

[4]

EBERHART C, 1980, HOUSTON J MATH, V6, P355

[5] MONOTONE DECOMPOSITIONS OF IRREDUCIBLE HAUSDORFF CONTINUA [J].

GORDH, GR .

PACIFIC JOURNAL OF MATHEMATICS, 1971, 36 (03) :647-&

[6]

GORDH GR, 1971, THESIS U CALIFORNIA

[7]

Kuratowski K., 1966, Topology, VI

[8]

Macias S, 2006, HOUSTON J MATH, V32, P161

[9]

Macias S., 2007, C MATH, V109, P163, DOI DOI 10.4064/CM109-1-13

[10]

Macias S, 2005, PURE APPL MATH SER, V275

← 1 2 →