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.

引用

页数：13

共 7 条

[1] Property of Kelley for the Cartesian products and hyperspaces
Charatonik, Janusz J.
Charatonik, Wlodzimierz J.
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2008, 136 (01) : 341 - 346
[2] Illanes A., 1999, MONOGRAPHS TXB PURE, V216
[3] Connected neighborhoods in products
Illanes, Alejandro
Martinez-Montejano, Jorge M.
Villarreal, Karen
[J]. TOPOLOGY AND ITS APPLICATIONS, 2018, 241 : 172 - 184
[4] Hyperspaces of a continuum
Kelley, J. L.
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1942, 52 (1-3) : 22 - 36
[5] Nadler S.B., 1992, CONTINUUM THEORY INT, V158
[6] Naranjo-Murillo J.A., PREPRINT
[7] Wardle R. W., 1977, HOUSTON J MATH, V3, P291

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