Countable powers of compact Abelian groups in the uniform topology and cardinality of their dual groups

Dikranjan, DikranMartín Peinador, ElenaTarieladze, Vaja2023-06-192023-06-192014https://hdl.handle.net/20.500.14352/33450We equip the product of countably many copies of a compact Abelian group X with the uniform topology, and study some properties of the topological group G thus obtained. In particular, we determine the cardinality of the dual group of G, when X is the circle group: it is precisely 2^c.engCountable powers of compact Abelian groups in the uniform topology and cardinality of their dual groupsjournal articlehttp://arxiv.org/abs/1305.7369http://arxiv.org/open access515.1Characterdual groupuniform topologyconnected groupprecompact grouplocally quasiconvex group.Topología1210 Topología