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arXiv · 1002.3352

Free topological universal algebras and absolute neighborhood retracts

Taras Banakh·Olena Hryniv
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Abstract

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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Taras Banakh, Olena Hryniv. 2010-02-17. Free topological universal algebras and absolute neighborhood retracts. https://arxiv.org/abs/1002.3352

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