Embeddings of Hausdorff semitopological semilattices in hyperspaces

• Date: 2026
• Main Authors: Chu, Xiangping, Li, Qingguo
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/9085
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.12, 512.56 Beer and Ok showed that a locally compact and order-connected Hausdorff topological semilattice $X$ can be embedded in the space of all closed subsets of $X$ endowed with the Fell topology and ordered by set inclusion. First, we show that this result can be generalized to the case...