Topologies on the $n$-element set that consistent with close to the discrete topologies on $(n −1)$-element set

• Date: 2021
• Main Authors: Stegantseva, P. G., Skryabina, A. V., Стєганцева, П. Г., Скрябіна, А. В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/6174
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.1 Topologies on a finite set are described by a nondecreasing sequence of nonnegative integers (the vector of topologies). We study $T_0$ -topologies on the $n$-element set that induce topologies with $k > 2^{n - 1} $ on the $(n - 1)$-element set (these induced topologies are call...