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Group structures and their applications to categories of analysis and topological algebra R. N. Gumerov Kazan (Volga Region) Federal University |
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Abstract: Given a covering space of a compact topological group, we consider the problem of whether the group structure can be lifted to the covering space in such a way that the respective covering map becomes a group homomorphism. We discuss some applications to polynomials over the Banach algebra of continuous functions on a compact abelian group. We also consider some properties of morphisms of topological groups and of related semigroup |
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