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Rooted trees, strong cofinality and ample generics

Published online by Cambridge University Press:  01 October 2012

MACIEJ MALICKI
MACIEJ MALICKI*
Affiliation:
Institute of Mathematics, Polish Academy of Sciences, Sniadeckich 8, 00-956, Warsaw, Poland, and Lazarski University, Swieradowska 43, 02-662, Warsaw, Poland. e-mail: mamalicki@gmail.com
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Abstract

We characterize those countable rooted trees with non-trivial components whose full automorphism group has uncountable strong cofinality, and those whose full automorphism group contains an open subgroup with ample generics.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 154 , Issue 2 , March 2013 , pp. 213 - 223
Copyright
Copyright © Cambridge Philosophical Society 2012

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References

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