| TR#: | CS0254 |
| Class: | CS |
| Title: | Positive Results in Abstract Model Theory: A Theory of Compact Logics |
| Authors: | J. A. Makowsky and S. Shelah |
| CS0254.pdf | |
| Abstract: | We prove that compactness is equivalent to the amalgamation property, provided the occurrence number of the logic is smaller than the first uncountable measurable cardinal. We also relate compactness to the existence of certain regular ultrafilters related to the logic and develop a general theory of compactness and its consequences. |
| Copyright | The above paper is copyright by the Technion, Author(s), or others. Please contact the author(s) for more information |
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