On the Hyperspace of Convex Compact Subsets of the Tikhonov Cube

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

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Bibliographic Details
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
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal