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Extending binary operations to funtor-spaces

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Author(s): T. O. Banakh | V. M. Gavrylkiv

Journal: Carpathian Mathematical Publications
ISSN 2075-9827

Volume: 1;
Issue: 2;
Start page: 114;
Date: 2009;
Original page

ABSTRACT
Given a continuous monadic functor $T:CompoComp$ in thecategory of compacta and a discrete topological semigroup $X$ weextend the semigroup operation $varphi:Ximes Xo X$ to aright-topological semigroup operation $Phi:Teta Ximes TetaXo Teta X,$ whose topological center $Lambda_Phi$ containsthe dense subsemigroup $T_f X$ consisting of elements $ain TetaX$ that have finite support in $X$.
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