| Título: | On spaces of Conradian group orderings |
| Autores: | Rivas, Cristóbal |
| Fecha: |
2011-09-29 2011-09-29 2010-03-29 |
| Publicador: | WALTER DE GRUYTER & CO |
| Fuente: |
Ver documento |
| Tipo: | Artículo de Revista |
| Tema: |
AMENABLE-GROUPS LINE |
| Descripción: |
Artículo de publicación ISI We classify C-orderable groups admitting only finitely many C-orderings. We show that if a C-orderable group has infinitely many C-orderings, then it actually has uncountably many C-orderings, and none of these is isolated in the space of C-orderings. As a relevant example, we carefully study the case of Baumslag-Solitar’s group B(1, 2). We show that B(1, 2) has four C-orderings, each of which is bi-invariant, but its space of left-orderings is homeomorphic to the Cantor set. |
| Idioma: | Inglés |