par Esser, Olivier ;Hinnion, Roland
Référence Mathematical logic quarterly, 47, 4, page (539-555)
Publication Publié, 2001
Article révisé par les pairs
Résumé : The tree-property (classical in cardinal theory) and its variants make sense also for directed sets and even for partially ordered sets. A combinatorial approach is developed here, with characterizations and criteria involving (inter alia) adequate families of special substructures of directed sets. These substructures form a natural hierarchy that is also investigated.