The product of two chainable Kelley continua has the fupcon property

被引：0
作者：
Naranjo-Murillo, Jimmy A. [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Cd Univ, Ciudad De Mexico 04510, Mexico
来源：
TOPOLOGY AND ITS APPLICATIONS | 2020年 / 278卷
关键词：
Chainable; Continuum; Connected neighborhoods; Fupcon property; Kelley continuum; Product; CONNECTED NEIGHBORHOODS;
D O I：
10.1016/j.topol.2020.107219
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given a family of metric continua {X-alpha : alpha is an element of J}, we consider the following property for the product X = Pi(alpha is an element of J) X-alpha: if M is a subcontinuum of X projecting onto each factor space, then M has arbitrarily small connected open neighborhoods. This property has been called fupcon (full projections imply connected open neighborhoods) property and it has been studied by several authors. Particularly, in 2018, A. Illanes, J. M. Martinez-Montejano and K. Villarreal proved that the product of a chainable Kelley continuum and [0,1] has the fupcon property. In this paper, we extend this result by proving that the product of two chainable Kelley continua has the fupcon property. (C) 2020 Elsevier B.V. All rights reserved.
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页数：15
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