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IMI/Publicaţii/BASM/Ediţii/BASM n.1 (65), 2011/

Free topological universal algebras and absolute neighborhood retracts

Authors: Taras Banakh, Olena Hryniv

Abstract

We prove that for a complete quasivariety Κ of topological E-algebras of countable discrete signature E and each submetrizable ANR(κω)-space X its free topological E-algebra FΚ(X) in the class Κ is a submetrizable ANR(κω)-space.

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