On the Hyperspace of Convex Compact Subsets of the Tikhonov Cube

• Date: 2001
• Main Authors: Ivanov, A. S., Zarichnyi, M. M., Іванов, С. А., Зарічний, М. М.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2001
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4292
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that the hyperspace of compact convex subsets of the Tikhonov cube \(I^{\omega_1}\) is homeomorphic to \(I^{\omega_1}\) .