Representable topologies and locally connected spaces

被引：10

作者：

Campion, M. J.

Candeal, J. C.

Indurain, E.

Mehta, G. B.

机构：

[1] Univ Publ Navarra, Dept Matemat, E-31006 Pamplona, Spain

[2] Univ Zaragoza, Fac Ciencias Econ & Empresariales, Dept Analisis Econ, E-50005 Zaragoza, Spain

[3] Univ Queensland, Dept Econ, Brisbane, Qld 4072, Australia

来源：

TOPOLOGY AND ITS APPLICATIONS | 2007年 / 154卷 / 10期

关键词：

totally preordered structures; continuous numerical representations; locally connected separable spaces; representable topologies;

D O I：

10.1016/j.topol.2006.05.011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to study certain order-theoretic properties of locally connected topologies. In the main theorem we prove that the assertion that a locally connected topology which satisfies the countable chain condition has the continuous representability property is undecidable in ZFC set theory. Some related problems and generalizations are also included. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2040 / 2049

页数：10

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