Choban, M.; Kiriak, L. Compact subsets of free algebras with topologies and equivalence of spaces. (English) Zbl 1138.54312 Hadronic J. 25, No. 5, 609-631 (2002). Summary: We investigate universal algebras with topologies. On algebras we consider topologies relatively to which operations are continuous on compact subsets. These algebras are called \(k\)-algebras. Some properties of compact subsets of free \(k\)-algebras and some facts about \(M_V\)-equivalence of spaces are established. MSC: 54H13 Topological fields, rings, etc. (topological aspects) 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) 08B20 Free algebras 54C40 Algebraic properties of function spaces in general topology 54D30 Compactness Keywords:\(k\)-algebra; \(k\)-continuous mapping; \(M_V\)-equivalence; quasivariety PDFBibTeX XMLCite \textit{M. Choban} and \textit{L. Kiriak}, Hadronic J. 25, No. 5, 609--631 (2002; Zbl 1138.54312)