Tree-Properties for Ordered Sets

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Mathematical Logic Quarterly 48 (2):213-219 (2002)
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Abstract

In this paper, we study the notion of arborescent ordered sets, a generalizationof the notion of tree-property for cardinals. This notion was already studied previously in the case of directed sets. Our main result gives a geometric condition for an order to be ℵ0-arborescent.

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10.1002/1521-3870(200202)48:2

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Ramifiable Directed Sets.Roland Hinnion - 1998 - Mathematical Logic Quarterly 44 (2):216-228.
Directed Sets and Malitz‐Cauchy‐Completions.Roland Hinnion - 1997 - Mathematical Logic Quarterly 43 (4):465-484.

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