Varieties of topological algebras (Q1062085)

The author studies a theory of varieties of topological algebras. Here a topological algebra is a universal algebra equipped with a topology so that the (finitary) algebra operations are continuous. The paper is rather technical and intended for the specialists. The titles of sections are: Algebra of filters; Identities in topological algebras; Free topological algebras; Varieties, classification and characterization; Rank of a variety and a-products; Remarks on varieties of topological spaces.