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David Roberts
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An example is given in my paper with T.Tibor Beke, https://arxiv.org/pdf/1005.2910.pdf (see

Abstract elementary classes and accessible categories, Annals Pure Appl. Logic 163 (2012), 2008-2017, doi:10.1016/j.apal.2012.06.003, arXiv:1005.2910.

see Remark 3.2(4)). This is what Reid Barton indicated.

An example is given in my paper with T. Beke, https://arxiv.org/pdf/1005.2910.pdf (see Remark 3.2(4)). This is what Reid Barton indicated.

An example is given in my paper with Tibor Beke,

Abstract elementary classes and accessible categories, Annals Pure Appl. Logic 163 (2012), 2008-2017, doi:10.1016/j.apal.2012.06.003, arXiv:1005.2910.

see Remark 3.2(4). This is what Reid Barton indicated.

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Jiří Rosický
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An example is given in my paper with T. Beke, https://arxiv.org/pdf/1005.2910.pdf (see Remark 3.2(4)). This is what Reid Barton indicated.