Open Access
April, 2009 Some remarks on CM-triviality
Ikuo YONEDA
J. Math. Soc. Japan 61(2): 379-391 (April, 2009). DOI: 10.2969/jmsj/06120379

Abstract

We show that any rosy CM-trivial theory has weak canonical bases, and CM-triviality in the real sort is equivalent to CM-triviality with geometric elimination of imaginaries. We also show that CM-triviality is equivalent to the modularity in O-minimal theories with elimination of imaginaries.

Citation

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Ikuo YONEDA. "Some remarks on CM-triviality." J. Math. Soc. Japan 61 (2) 379 - 391, April, 2009. https://doi.org/10.2969/jmsj/06120379

Information

Published: April, 2009
First available in Project Euclid: 13 May 2009

zbMATH: 1188.03024
MathSciNet: MR2532894
Digital Object Identifier: 10.2969/jmsj/06120379

Subjects:
Primary: 03C64 , Primary 03C45

Keywords: CM-triviality , generic structures , geometric elimination of imaginaries , O-minimal theories , rosy theories

Rights: Copyright © 2009 Mathematical Society of Japan

Vol.61 • No. 2 • April, 2009
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