Alberto Tonolo - Academia.edu (original) (raw)

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Papers by Alberto Tonolo

We introduce a categorical closure operator g in the category of topological abelian groups (and ... more We introduce a categorical closure operator g in the category of topological abelian groups (and continuous homomorphisms) as a Galois closure with respect to an appropriate Galois correspondence defined by means of the Pontryagin dual of the underlying group. We prove that a topological abelian group G is maximally almost periodic if and only if every cyclic subgroup of G is g-closed. This generalizes a property characterizing the circle group from and answers an appropriate version of a question posed in .

We introduce a categorical closure operator g in the category of topological abelian groups (and ... more We introduce a categorical closure operator g in the category of topological abelian groups (and continuous homomorphisms) as a Galois closure with respect to an appropriate Galois correspondence defined by means of the Pontryagin dual of the underlying group. We prove that a topological abelian group G is maximally almost periodic if and only if every cyclic subgroup of G is g-closed. This generalizes a property characterizing the circle group from and answers an appropriate version of a question posed in .

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