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AFFINE COVERS OF LIE GEOMETRIES AND THE AMALGAMATION PROPERTY

Published online by Cambridge University Press:  14 October 2002

AMBAR CHOWDHURY ,
BRADD HART  and
ŽELJKO SOKOLOVIĆ
AMBAR CHOWDHURY
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada
BRADD HART
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada. [email protected]
ŽELJKO SOKOLOVIĆ
Affiliation:
Department of Mathematics and Statistics, McMaster University, Hamilton, ON L8S 4K1, Canada
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Abstract

Certain classes of smoothly approximable structures — the class of affine covers of Lie geometries — are shown to have the amalgamation property. In particular, this shows that any affine cover of a Lie geometry has the small index property.

2000 Mathematical Subject Classification: 03C45.

Keywords

smoothly approximableamalgamation propertycoversmall index propertycategorical
Type
Research Article
Information
Proceedings of the London Mathematical Society , Volume 85 , Issue 3 , November 2002 , pp. 513 - 563
Copyright
2002 London Mathematical Society

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