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Extensions and factorizations of topological and semitopological universal algebras

Published 2 Feb 2024 in math.GN and math.RA | (2402.01418v3)

Abstract: The possibility of extending operations of topological and semitopological algebras to their Stone-\v{C}ech compactification and factorization of continuous functions through homomorphisms to metrizable algebras are investigated. Most attention is paid to pseudocompact and compact algebras.

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