Automorphisms and endomorphisms of partitions of topological spaces

• Date: 2026
• Main Authors: Maksymenko, S., Polulyakh, E., Максименко, Сергій, Полулях, Євген
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2026
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8932
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.1 Let $X$ be a topological space, let $\Delta$ be a partition of $X$, and let $Y =X/\Delta$ be a quotient space with the corresponding quotient topology. Then the automorphism group $\mathcal{H}(\Delta)$ of $\Delta$ (i.e., the homeomorphisms of  $X,$ which permute the elements of partition) ...