On compact topologies on the semigroup of finite partial order isomorphisms of a bounded rank of an infinite linear ordered set

• Date: 2026
• Main Authors: Gutik, O., Shchypel, M., Гутік, Олег, Щипель, Максим
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8941
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.536 We study the topologization of the semigroup $\mathscr{O\!\!I}\!_n(L)$ of finite partial order isomorphisms of bounded rank of an infinite linear ordered set $(L,\leqslant).$ In particular, we show that every $T_1$ left-topological (right-topological) semigroup $\mathscr{O\!\!I}\!_n(L)$...