✦ LIBER ✦

Directed Sets and Malitz-Cauchy-Completions

✍ Scribed by Roland Hinnion

Publisher: John Wiley and Sons
Year: 1997
Tongue: English
Weight: 1023 KB
Volume: 43
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.19970430404

No coin nor oath required. For personal study only.

✦ Synopsis

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.

📜 SIMILAR VOLUMES

On Products of CAUCHY Completions

✍ D. C. Kent; R. Ruiz de Eguino 📂 Article 📅 1992 🏛 John Wiley and Sons 🌐 English ⚖ 540 KB

## Abstract We investigate conditions under which the completion of a product of CAUCHY spaces is equivalent to the product of the completions. Necessary and sufficient conditions are given for the WYLER completion to commute with products. The natural completion and natural ordered completion are

Constructive completions of ordered sets

Constructive completions of ordered sets, groups and fields

✍ Erik Palmgren 📂 Article 📅 2005 🏛 Elsevier Science 🌐 English ⚖ 236 KB

Group completions and limit sets of Klei

Group completions and limit sets of Kleinian groups

✍ William J. Floyd 📂 Article 📅 1980 🏛 Springer-Verlag 🌐 English ⚖ 751 KB

Ramifiable Directed Sets

✍ Roland Hinnion 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 727 KB

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.

Cauchy flux and sets of finite perimeter

✍ William P. Ziemer 📂 Article 📅 1983 🏛 Springer 🌐 English ⚖ 494 KB

On Directed Sets and their Suprema

✍ Mohamed Ait Mansour; Nicolae Popovici; Michel Théra 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 204 KB