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The free group has the dimensional order property

The free group has the dimensional order property We prove that the common theory Tfg of nonabelian free groups has the dimensional order property, implying, for example, that there is no reasonable structure theorem for ℵ1‐saturated models of Tfg. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the London Mathematical Society Wiley

The free group has the dimensional order property

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References (16)

Publisher
Wiley
Copyright
© 2017 London Mathematical Society
ISSN
0024-6093
eISSN
1469-2120
DOI
10.1112/blms.12012
Publisher site
See Article on Publisher Site

Abstract

We prove that the common theory Tfg of nonabelian free groups has the dimensional order property, implying, for example, that there is no reasonable structure theorem for ℵ1‐saturated models of Tfg.

Journal

Bulletin of the London Mathematical SocietyWiley

Published: Feb 1, 2017

Keywords: ;

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