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arXiv · 1809.06435

The Hrushovski property for hypertournaments and profinite topologies

Jingyin Huang·Michael Pawliuk·Marcin Sabok·Daniel Wise
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Abstract

We study the problem of extending partial isomorphisms for hypertournaments, which are relational structures generalizing tournaments. This is a generalized version of an old question of Herwig and Lascar. We show that the generalized problem has a negative answer, and we provide a positive answer in a special case. As a corollary, we show that the extension property holds for tournaments in case the partial isomorphisms have pairwise disjoint ranges and pairwise disjoint domains.

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Jingyin Huang, Michael Pawliuk, Marcin Sabok, Daniel Wise. 2018-09-17. The Hrushovski property for hypertournaments and profinite topologies. https://arxiv.org/abs/1809.06435

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