Ivanov, Aleksander Locally compact groups which are separably categorical structures. (English) Zbl 1421.03018 Arch. Math. Logic 56, No. 1-2, 67-78 (2017). Summary: We describe locally compact groups which are separably categorical metric structures. Cited in 4 Documents MSC: 03C60 Model-theoretic algebra 03C35 Categoricity and completeness of theories 03C45 Classification theory, stability, and related concepts in model theory 22D05 General properties and structure of locally compact groups Keywords:separably categorical structures; locally compact groups; stability PDFBibTeX XMLCite \textit{A. Ivanov}, Arch. Math. Logic 56, No. 1--2, 67--78 (2017; Zbl 1421.03018) Full Text: DOI arXiv References: [1] Ando, H., Matsuzawa, Y.: On Polish groups of finite type. Publ. Res. Inst. Math. Sci. 48, 389-408 (2012) · Zbl 1255.46028 · doi:10.2977/PRIMS/73 [2] Ben Yaacov, I.: Definability of groups in \[\aleph_0\] ℵ0-stable metric structures. J. Symb. Log. 75, 817-840 (2010) · Zbl 1205.03047 · doi:10.2178/jsl/1278682202 [3] Ben Yaacov, I., Berenstein, A., Henson, W., Usvyatsov, A.: Model theory for metric structures. In: Chatzidakis, Z., Macpherson, H.D., Pillay, A., Wilkie, A. (eds.) Model theory with Applications to Algebra and Analysis, vol. 2. London Math. Soc. Lecture Notes, vol. 350, pp. 315-427, Cambridge University Press (2008) · Zbl 1233.03045 [4] Ben Yaacov, I., Usvyatsov, A.: Continuous first order logic and local stability. Trans. Am. Math. Soc. 362, 5213-5259 (2010) · Zbl 1200.03024 · doi:10.1090/S0002-9947-10-04837-3 [5] Cameron, P.: Oligomorphic Permutation Groups. London Math. Soc. Lecture Notes, vol. 152, Cambridge University Press (1990) · Zbl 0813.20002 [6] Diximier, J.: Les \[C^*C\]∗-algébres et leurs Représentations. Gauthier-Villas, Paris (1969) [7] Farah, I., Hart, B., Sherman, D.: Model theory of operator algebras II: model theory. Isr. J. Math. 201, 477-505 (2014) · Zbl 1301.03037 · doi:10.1007/s11856-014-1046-7 [8] Felgner, U.: On \[\aleph_0\] ℵ0-categorical extra-special \[p\] p-groups. Comptes Rendus de la Semaine d’Étude en Théorie des Modéles. Log. Anal. 18(71-72), 407-428 (1975) [9] Hofmann, K.H., Morris, S., Stroppel, M.: Varieties of topological groups, Lie groups and SIN groups. Coll. Math. 70, 151-163 (1996) · Zbl 0853.22001 [10] Klee Jr., V.L.: Invariant metrics in groups (solution of a problem of Banach). Proc. Am. Math. Soc. 3, 484-487 (1952) · Zbl 0047.02902 · doi:10.1090/S0002-9939-1952-0047250-4 [11] Montgomery, D., Zippin, L.: Topological Transformation Groups. Interscience Publishers, New York (1955) · Zbl 0068.01904 [12] Oliynyk, B.: Isometry groups of wreath products of metric spaces. Algebra Discrete Math. 4, 123-130 (2007) · Zbl 1156.28310 [13] Popa, S.: Cocycles and orbit equivalence superrigity for malleable actions of \[w\] w-rigid groups. Invent. Math. 170, 243-295 (2007) · Zbl 1131.46040 · doi:10.1007/s00222-007-0063-0 [14] Schoretsanitis, K.: Fraïssé Theory for Metric Structures. PhD Thesis, University of Illinois at Urbana-Champaign (2007). http://www.math.uiuc.edu/ henson/cfo/metricfraisse 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.