Grebík, Jan An example of a Fraïssé class without a Katětov functor. (English) Zbl 1459.03044 Appl. Categ. Struct. 26, No. 1, 1-6 (2018). Summary: We disprove a conjecture from W. Kubiś and D. Mašulović [Appl. Categ. Struct. 25, No. 4, 569–602 (2017; Zbl 1423.03125)] 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. Cited in 1 Document MSC: 03C50 Models with special properties (saturated, rigid, etc.) 18A22 Special properties of functors (faithful, full, etc.) Keywords:Katětov functor; Fraïssé limit Citations:Zbl 1423.03125 PDFBibTeX XMLCite \textit{J. Grebík}, Appl. Categ. Struct. 26, No. 1, 1--6 (2018; Zbl 1459.03044) Full Text: DOI arXiv References: [1] Hodges, W.: Model theory, Encyclopedia of Mathematics and its Applications, vol. 42. Cambridge University Press, Cambridge (1993) · Zbl 1423.03125 [2] Kubiś, W., Mašulović, D.: Katĕtov Functors. Appl. Categor. Struct. (2016). doi:10.1007/s10485-016-9461-z · Zbl 1423.03125 · doi:10.1007/s10485-016-9461-z This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.