Erratum to " $B_2$ -crystals: Axioms, structure, models" [J. Combin. Theory, Ser. A, 116 (2009), 265--289]

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In this erratum we explain how to implement some axioms stated in our paper of 2009 so as to obtain a purely "local" characterization for finite $B_2$ -crystals, which was declared but not clarified at some moments there. Also we correct some inaccuracies in that paper.

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Erratum to " $B_2$ -crystals: Axioms, structure, models" [J. Combin. Theory, Ser. A, 116 (2009), 265--289]

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Erratum to "B2B_2B2​-crystals: Axioms, structure, models" [J. Combin. Theory, Ser. A, 116 (2009), 265--289]

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Erratum to " $B_2$ -crystals: Axioms, structure, models" [J. Combin. Theory, Ser. A, 116 (2009), 265--289]