Extending binary operations to funtor-spaces

Autor: T. O. Banakh, V. M. Gavrylkiv
Jazyk: English<br />Ukrainian
Rok vydání: 2009
Předmět:
Zdroj: Karpatsʹkì Matematičnì Publìkacìï, Vol 1, Iss 2, Pp 114-127 (2009)
Druh dokumentu: article
ISSN: 2075-9827
Popis: 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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