Abstract
We disprove a conjecture from Kubiś and Mašulović [2] by showing the existence of a Fraïssé class \(\mathcal {C}\) which does not admit a Katětov functor. On the other hand, we show that the automorphism group of the Fraïssé limit of \(\mathcal {C}\) is universal, as it happens in the presence of a Katětov functor.
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References
Hodges, W.: Model theory, Encyclopedia of Mathematics and its Applications, vol. 42. Cambridge University Press, Cambridge (1993)
Kubiś, W., Mašulović, D.: Katĕtov Functors. Appl. Categor. Struct. (2016). doi:10.1007/s10485-016-9461-z
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Research supported by GAČR project 16-34860L and RVO: 67985840.
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Grebík, J. An Example of a Fraïssé Class Without a Katětov Functor. Appl Categor Struct 26, 1–6 (2018). https://doi.org/10.1007/s10485-016-9469-4
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DOI: https://doi.org/10.1007/s10485-016-9469-4