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arXiv · 0907.2925

aleph_0-categorical Structures: Endomorphisms and Interpretations

Manuel Bodirsky·Markus Junker
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Abstract

We extend the Ahlbrandt--Ziegler analysis of interpretability in aleph_0-categorical structures by showing that existential interpretation is controlled by the monoid of self--embeddings and positive existential interpretation of structures without constant endomorphisms is controlled by the monoid of endomorphisms in the same way as general interpretability is controlled by the automorphism group.

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Manuel Bodirsky, Markus Junker. 2009-07-16. aleph_0-categorical Structures: Endomorphisms and Interpretations. https://arxiv.org/abs/0907.2925

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