Submission date: 11 November 2009. Revised 14 September 2010.

Abstract:

With the aim of developing the concepts of positive logic and in response to a question that was asked by Poizat in one of his articles, I wrote this article.
The main topic is the study of compactness in the extension as a compact structure. they are based on a fundamental characterization of the compact, which was given by Itai Ben Yacov and Poizat in section Basis of positive logic.

Mathematics Subject Classification:

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