2017
Том 69
№ 6

All Issues

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

Fotii O. H., Maslyuchenko V. K.

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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.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 8, pp 1148-1154.

Citation Example: Fotii O. H., Maslyuchenko V. K. Constancy of upper-continuous two-valued mappings into the Sorgenfrey line // Ukr. Mat. Zh. - 2007. - 59, № 8. - pp. 1034–1039.

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