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A. G. Atim and R. R. Kallman , The infinite unitary and related groups are algebraically determined Polish groups, Topology Appl.
159(12) (2012), 2831–2840.
I. Ben Yaacov , A. Berenstein , C. W. Henson and A. Usvyatsov , Model theory for metric structures, in Model Theory with Applications to Algebra and Analysis, Vol. 2, London Mathematical Society Lecture Note Series, Volume 350, pp. 315–427 (Cambridge University Press, Cambridge, 2008).
I. Ben Yaacov and T. Tsankov , Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups, Trans. Amer. Math. Soc.
368(11) (2016), 8267–8294.
R. M. Dudley , Continuity of homomorphisms, Duke Math. J.
28 (1961), 587–594.
E. Glasner , The group Aut(𝜇) is Roelcke precompact, Canad. Math. Bull.
55(2) (2012), 297–302.
R. R. Kallman , Uniqueness results for groups of measure preserving transformations, Proc. Amer. Math. Soc.
95(1) (1985), 87–90.
R. R. Kallman , Uniqueness results for homeomorphism groups, Trans. Amer. Math. Soc.
295(1) (1986), 389–396.
A. S. Kechris , Global Aspects of Ergodic Group Actions, Mathematical Surveys and Monographs, Volume 160 (American Mathematical Society, Providence, RI, 2010).
A. S. Kechris and B. D. Miller , Topics in Orbit Equivalence, Lecture Notes in Mathematics, Volume 1852 (Springer, Berlin, 2004).
J. Kittrell and T. Tsankov , Topological properties of full groups, Ergod. Th. & Dynam. Sys.
30(2) (2010), 525–545.
M. Malicki , Consequences of the existence of ample generics and automorphism groups of homogeneous metric structures, J. Symbolic Logic
81(3) (2016), 876–886.
M. Malicki , The automorphism group of the Lebesgue measure has no non-trivial subgroups of index <2𝜔
, Colloq. Math.
133(2) (2013), 169–174.
K. Mann , Automatic continuity for homeomorphism groups and applications. With an appendix by Frédéric Le Roux and Mann, Geom. Topol.
20(5) (2016), 3033–3056.
V. G. Pestov , A theorem of Hrushovski–Solecki–Vershik applied to uniform and coarse embeddings of the Urysohn metric space, Topology Appl.
155(14) (2008), 1561–1575.
L. Ribes and P. A. Zalesskii , On the profinite topology on a free group, Bull. Lond. Math. Soc.
25(1) (1993), 37–43.
C. Rosendal , Automatic continuity in homeomorphism groups of compact 2-manifolds, Israel J. Math.
166 (2008), 349–367.
C. Rosendal , Automatic continuity of group homomorphisms, Bull. Symbolic Logic
15(2) (2009), 184–214.
C. Rosendal , Finitely approximable groups and actions. Part I: the Ribes–Zalesskiĭ property, J. Symbolic Logic
76(4) (2011), 1297–1306.
K. Slutsky , Automatic continuity for homomorphisms into free products, J. Symbolic Logic
78(4) (2013), 1288–1306.
S. Solecki , Extending partial isometries, Israel J. Math.
150 (2005), 315–331.
L. Stojanov , Total minimality of the unitary groups, Math. Z.
187(2) (1984), 273–283.
K. Tent and M. Ziegler , The isometry group of the bounded Urysohn space is simple, Bull. Lond. Math. Soc.
45(5) (2013), 1026–1030.
K. Tent and M. Ziegler , On the isometry group of the Urysohn space, J. Lond. Math. Soc. (2)
87(1) (2013), 289–303.
T. Tsankov , Automatic continuity for the unitary group, Proc. Amer. Math. Soc.
141(10) (2013), 3673–3680.