Free topological universal algebras and absolute neighborhood retracts

Autor:	Banakh, Taras, Hryniv, Olena
Rok vydání:	2010
Předmět:	Mathematics - General Topology Mathematics - Category Theory 08B20 22A30 54C55
Zdroj:	Bul. Acad. Stiinte Repub. Mold. Mat. 65:1 (2011) 50-59
Druh dokumentu:	Working Paper
Popis:	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. Comment: 9 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1002.3352 Zobrazit plný text záznamu View this record from Arxiv