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Preprint Number 642

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642. Manuel Bodirsky and Dugald Macpherson
Reducts of structures and maximal-closed permutation groups

Submission date: 23 October 2013.


Answering a question of Junker and Ziegler, we construct a countable first order structure which is not omega-categorical, but does not have any proper non-trivial reducts, in either of two senses (model-theoretic, and group-theoretic). We also construct a strongly minimal set which is not omega-categorical but has no proper non-trivial reducts in the model-theoretic sense.

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Full text arXiv 1310.6393: pdf, ps.

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