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

zbMATH Keywords

hyperspaceVietoris topologycontinuous weak selectionsuborderable spaceselection topologyseparately continuous selection (**)weakly preorderable filter space

Mathematics Subject Classification ID

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)

Cites Work

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• Continuous weak selections for products
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• Paracompactness in ordered spaces
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• Selections and suborderability
• Topologies on Spaces of Subsets

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