IMI/Publicaţii/BASM/Ediţii/BASM n.3 (34), 2000/

Stone algebras and extensions of topological spaces (English)

Authors: Calmutchi L. I.


The notions of Stone universal algebra and of $s$-quasivariety of Sto\-ne algebras are studied. It is proved that for every space $X$ there exists a topological free algebra of $X$ in the given $s$-quasivariety. A method of construction of the Stone compactifications is considered.

Department of Mathematics
Tiraspol State University
str.Gh.Jablocichin 5
MD-2069 Chisinau, Moldova