The Hrushovski property for hypertournaments and profinite topologies

Jingyin Huang; Micheal Pawliuk; Marcin Sabok; Daniel T. Wise

doi:10.1112/jlms.12244

The Hrushovski property for hypertournaments and profinite topologies

Jingyin Huang, Micheal Pawliuk, Marcin Sabok, Daniel T. Wise

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	757-774
Number of pages	18
Journal	Journal of the London Mathematical Society
Volume	100
Issue number	3
DOIs	https://doi.org/10.1112/jlms.12244
State	Published - 1 Dec 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1112/jlms.12244

Cite this

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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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The Hrushovski property for hypertournaments and profinite topologies

Abstract

All Science Journal Classification (ASJC) codes

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