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Pré-Publication, Document De Travail Année : 2018

Analytic digraphs of uncountable Borel chromatic number under injective definable homomorphism

Résumé

We study the analytic digraphs of uncountable Borel chromatic number on Polish spaces, and compare them with the notion of injective Borel homomorphism. We provide some minimal digraphs incomparable with G 0. We also prove the existence of antichains of size continuum, and that there is no finite basis. 2010 Mathematics Subject Classification. 03E15, 54H05
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hal-01918494 , version 1 (11-11-2018)

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Dominique Lecomte, Miroslav Zeleny. Analytic digraphs of uncountable Borel chromatic number under injective definable homomorphism. 2018. ⟨hal-01918494⟩
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