Geodesic
Free topological universal algebras and absolute neighborhood retracts
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 50-59

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We prove that for a complete quasivariety $\mathcal K$ of topological $E$-algebras of countable discrete signature $E$ and each submetrizable $\mathsf{ANR}(k_\omega)$-space $X$ its free topological $E$-algebra $F_\mathcal K(X)$ in the class $\mathcal K$ is a submetrizable $\mathsf{ANR}(k_\omega)$-space. 
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     author = {Taras Banakh and Olena Hryniv},
     title = {Free topological universal algebras and absolute neighborhood retracts},
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     pages = {50--59},
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     number = {1},
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Taras Banakh; Olena Hryniv. Free topological universal algebras and absolute neighborhood retracts. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2011), pp. 50-59. http://geodesic.mathdoc.fr/item/BASM_2011_1_a4/