Publicação
Priestley spaces: the threefold way
| Resumo: | Three different ways of describing Priestley spaces are presented: as the objects of a category which arises in the equivalence induced by an adjunction F . U : OrdTopop ¡æ Lat, as limits of (suitable) finite topologically-discrete preordered spaces (i.e. as profinite preorders) and as the 2-compact ordered spaces, in the sense of Engelking and Mr¢¥owka [5], three situations where, for discrete-ordered topological spaces, one obtains Stone spaces instead of Priestley spaces. |
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| Autores principais: | Dias, Margarida |
| Assunto: | Ordered (preordered) topological spaces Priestley spaces |
| Ano: | 2007 |
| País: | Portugal |
| Tipo de documento: | preprint |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade de Coimbra |
| Idioma: | inglês |
| Origem: | Estudo Geral - Universidade de Coimbra |
| Resumo: | Three different ways of describing Priestley spaces are presented: as the objects of a category which arises in the equivalence induced by an adjunction F . U : OrdTopop ¡æ Lat, as limits of (suitable) finite topologically-discrete preordered spaces (i.e. as profinite preorders) and as the 2-compact ordered spaces, in the sense of Engelking and Mr¢¥owka [5], three situations where, for discrete-ordered topological spaces, one obtains Stone spaces instead of Priestley spaces. |
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