Constancy of upper-continuous two-valued mappings into the Sorgenfrey line

被引：0

作者：

Maslyuchenko V.K. ^{[1
]}

Fotii O.H. ^{[1
]}

机构：

[1] Chernivtsi National University, Chernivtsi

来源：

Ukrainian Mathematical Journal | 2007年 / 59卷 / 8期

关键词：

Topological Space; Compact Subset; Topological Structure; Neighborhood Versus; Multivalued Mapping;

D O I：

10.1007/s11253-007-0076-2

中图分类号：

学科分类号：

摘要：

By using the Sierpiński continuum theorem, we prove that every upper-continuous two-valued mapping of a linearly connected space (or even a c-connected space, i.e., a space in which any two points can be connected by a continuum) into the Sorgenfrey line is necessarily constant. © 2007 Springer Science+Business Media, Inc.

引用

页码：1148 / 1154

页数：6

共 10 条

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