Título: | On thin generating sets in topological groups |
Autores: |
Okunev, O Tkacenko, M |
Fecha: |
2011-01-22 2011-01-22 1998 |
Publicador: | |
Fuente: |
Ver documento |
Tipo: | Article |
Tema: |
Mathematics suitable set almost metrizable group free topological group compact dyadic space retraction M-equivalent spaces |
Descripción: | If a discrete subset S of a topological group G with identity 1 generates a dense subgroup of G and S boolean OR {1} is closed in G, then S is called a suitable set for G. We show that every almost metrizable topological group has a suitable set, thus generalizing a similar result for metrizable groups obtained by Comfort, Morris, Robbie, Svetlichny and Tkacenko. It is also proved that the free topological groups of compact spaces from a class including all dyadic and all polyadic spaces have suitable sets. |
Idioma: | Inglés |