The product of two chainable Kelley continua is also a Kelley continuum

被引：1
|
作者：
Naranjo-Murillo, Jimmy A. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Mexico City 04510, DF, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2020年 / 269卷
关键词：
Chainable; Continuum; Kelley continuum; Product;
D O I：
10.1016/j.topol.2019.106924
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For many years, it was an open question whether the product of two Kelley continua is also a Kelley continuum. In 1977, Roger W. Wardle presented a Kelley continuum X such that X x X is not a Kelley continuum. Many years later, in 2004, Janusz J. Charatonik and Wlodzimierz J. Charatonik presented a Kelley continuum X such that X x [0, 1] is not a Kelley continuum. In this paper we prove that the product of two chainable Kelley continua is also a Kelley continuum. (C) 2019 Elsevier B.V. All rights reserved.
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页数：13
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