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CATEGORICITY IN QUASIMINIMAL PREGEOMETRY CLASSES

Published online by Cambridge University Press:  22 January 2016

LEVON HAYKAZYAN
LEVON HAYKAZYAN*
Affiliation:
MATHEMATICAL INSTITUTE UNIVERSITY OF OXFORD RADCLIFFE OBSERVATORY QUARTER OXFORD, OX2 6GG, UKE-mail: haykazyanl@maths.ox.ac.uk
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Abstract

Quasiminimal pregeometry classes were introduced by [6] to isolate the model theoretical core of several interesting examples. He proves that a quasiminimal pregeometry class satisfying an additional axiom, called excellence, is categorical in all uncountable cardinalities. Recently, [2] showed that the excellence axiom follows from the rest of the axioms. In this paper we present a direct proof of the categoricity result without using excellence.

Keywords

Categoricityquasiminimalityexcellence

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Type
Articles
Information
The Journal of Symbolic Logic , Volume 81 , Issue 1 , March 2016 , pp. 56 - 64
Copyright
Copyright © The Association for Symbolic Logic 2016 

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References

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