Countable powers of compact Abelian groups in the uniform topology and cardinality of their dual groups
We 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.
| Autores: | , , |
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| Formato: | artículo |
| Fecha de publicación: | 2014 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/33450 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/33450 |
| Access Level: | acceso abierto |
| Palavra-chave: | 515.1 Character dual group uniform topology connected group precompact group locally quasiconvex group. Topología 1210 Topología |
| Resumo: | We 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. |
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