Free topological universal algebras and absolute neighborhood retracts
classification
🧮 math.GN
math.CT
keywords
topologicalalgebrasfreeomegaspacesubmetrizableabsolutealgebra
read the original abstract
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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