Monad of the hyperspaces of inclusion and its algebras

A monad (in the Eilenberg-Moore sense) on the category of compact spaces is constructed; it is defined by the inclusion hyperspace functor. The category of algebras of this monad is described and a characterization of the free algebras is given.

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Bibliographic Details
Date:1990
Main Authors: Radul, T. N., Радул, Т. Н.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 1990
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/8841
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal