Free topological universal algebras and absolute neighborhood retracts

Details Free topological universal algebras and absolute neighborhood retracts Free topological universal algebras and absolute neighborhood retracts

2010-02-17

arxiv.org/abs/1002.3352v1

Bul. Acad. Stiinte Repub. Mold. Mat. 65:1 (2011) 50-59

Mathematics

General Topology

9 pages

Scientific paper

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

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