Constancy of upper-continuous two-valued mappings into the Sorgenfrey line
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.
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| Date: | 2007 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2007
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3367 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |