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On Directed Sets and their Suprema

✍ Scribed by Mohamed Ait Mansour; Nicolae Popovici; Michel Théra

Publisher
Springer
Year
2006
Tongue
English
Weight
204 KB
Volume
11
Category
Article
ISSN
1385-1292

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This is a study of the extension, to directed sets, of the well-known notion of ramifiability (also called tree-property), usually applied to cardinals. This very natural extension plays a crucial role in some specific types of Cauchy-completions.

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✍ Roland Hinnion 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 1023 KB

## Abstract This is a study of the set of the Malitz‐completions (which are a special case of Cauchy‐completions) of a given infinite first‐order structure, put in relation with properties of directed sets.