On the asymptotic extension dimension

• Date: 2010
• Main Authors: Repovš, D., Zarichnyi, M. M., Реповц, Д., Зарічний, М. М.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2010
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2976
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes the relationship between the asymptotic extensional dimension of a proper metric space and the extension dimension of its Higson corona.