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

  • V. K. Maslyuchenko
  • O. H. Fotii

Abstract

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.
Published
25.08.2007
How to Cite
MaslyuchenkoV. K., and FotiiO. H. “Constancy of Upper-Continuous Two-Valued Mappings into the Sorgenfrey Line”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, no. 8, Aug. 2007, pp. 1034–1039, https://umj.imath.kiev.ua/index.php/umj/article/view/3367.
Section
Research articles