Combinatorial Criteria for Ramifiable Ordered Sets

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Mathematical Logic Quarterly 47 (4):539-556 (2001)
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Abstract

The tree-property and its variants make sense also for directed sets and even for partially ordered sets. A combinatoria approach is developed here, with characterizations and criteria involving adequate families of special substructures of directed sets. These substructures form a natural hierarchy that is also investigated

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10.1002/1521-3870(200111)47:4

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