Kudajbergenov, K. Zh. On hyperhomogeneous and absolutely homogeneous models. (English. Russian original) Zbl 0936.03035 Sib. Math. J. 40, No. 2, 322-325 (1999); translation from Sib. Mat. Zh. 40, No. 2, 372-376 (1999). A model is said to be hyperhomogeneous provided any isomorphism between its submodels can be extended to an automorphism. A model is called absolutely homogeneous provided it is \(\lambda\)-homogeneous for all \(\lambda\).The author proves the existence of a theory in a finite language that possesses a unique hyperhomogeneous model. The cardinality of this model is \(2^\omega\). Reviewer: A.S.Morozov (Novosibirsk) MSC: 03C50 Models with special properties (saturated, rigid, etc.) Keywords:model theory; hyperhomogeneous model; absolutely homogeneous model PDFBibTeX XMLCite \textit{K. Zh. Kudajbergenov}, Sib. Math. J. 40, No. 2, 372--376 (1999; Zbl 0936.03035); translation from Sib. Mat. Zh. 40, No. 2, 372--376 (1999)