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• W3104398743 abstract "A relational structure is a core, if all its endomorphisms are embeddings. This notion is important for computational complexity classification of constraint satisfaction problems. It is a fundamental fact that every finite structure has a core, i.e., has an endomorphism such that the structure induced by its image is a core; moreover, the core is unique up to isomorphism. Weprove that every omega -categorical structure has a core. Moreover, every omega-categorical structure is homomorphically equivalent to a model-complete core, which is unique up to isomorphism, and which is finite or omega -categorical. We discuss consequences for constraint satisfaction with omega -categorical templates." @default.
• W3104398743 created "2020-11-23" @default.
• W3104398743 creator A5058729018 @default.
• W3104398743 date "2007-01-25" @default.
• W3104398743 modified "2023-10-17" @default.
• W3104398743 title "Cores of Countably Categorical Structures" @default.
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• W3104398743 doi "https://doi.org/10.2168/lmcs-3(1:2)2007" @default.
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