Clones in Topology and Algebra

Abstract

Clones of continuous maps of topological spaces and clones of homomorphisms of universal algebras are investigated and their initial segments compared. We show, for instance, that for every triple 2 ≤ n1 ≤ n2 ≤ n3 of integers there exist algebras A1 and A2 with two unary operations such that the initial k-segments of their clones of homomorphisms are equal… (More)

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