#### 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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