Free topological universal algebras and absolute neighborhood retracts

preprint2010arXivOpen access

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

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Free topological universal algebras and absolute neighborhood retracts

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