The existence of continuous weak selections and orderability-type properties in products and filter spaces
DOI10.1016/J.TOPOL.2017.09.030zbMath1379.54017arXiv1608.07144OpenAlexW2514782700MaRDI QIDQ1676520
Takamitsu Yamauchi, Koichi Motooka, Dmitrij B. Shakhmatov
Publication date: 9 November 2017
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1608.07144
hyperspaceVietoris topologycontinuous weak selectionsuborderable spaceselection topologyseparately continuous selection (**)weakly preorderable filter space
Set-valued functions (26E25) Hyperspaces in general topology (54B20) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Selections in general topology (54C65) Ordered sets (06A99) Product spaces in general topology (54B10)
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