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The monad of inclusion hyperspaces and its algebras

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Abstract

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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Authors and Affiliations

  1. L'vov University, USSR

    T. N. Radul

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  1. T. N. Radul
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 6, pp. 806–811, June, 1990.

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Radul, T.N. The monad of inclusion hyperspaces and its algebras. Ukr Math J 42, 712–716 (1990). https://doi.org/10.1007/BF01058919

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  • DOI: https://doi.org/10.1007/BF01058919

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