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Volumn 368, Issue 11, 2016, Pages 8267-8294

Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups

Author keywords

Group compactifications; Minimal groups; Reflexively representable; Roelcke precompact; Stability; WAP; 0 categorical

Indexed keywords


EID: 84987811304     PISSN: 00029947     EISSN: None     Source Type: Journal    
DOI: 10.1090/tran/6883     Document Type: Article
Times cited : (45)

References (37)
  • 1
    • 38249043660 scopus 로고
    • Quasi-finitely axiomatizable totally categorical theories
    • MR831437
    • G. Ahlbrandt and M. Ziegler, Quasi-finitely axiomatizable totally categorical theories, Ann. Pure Appl. Logic 30 (1986), no. 1, 63–82, DOI:10.1016/0168-0072(86)90037-0. Stability in model theory (Trento, 1984). MR831437
    • (1986) Ann. Pure Appl. Logic , vol.30 , Issue.1 , pp. 63-82
    • Ahlbrandt, G.1    Ziegler, M.2
  • 2
    • 84938071907 scopus 로고    scopus 로고
    • Lelek fan from a projective Fraïssé limit
    • MR3361235
    • D. Bartošová and A. Kwiatkowska, Lelek fan from a projective Fraïssé limit, Fund. Math. 231 (2015), no. 1, 57–79, DOI:10.4064/fm231-1-4. MR3361235
    • (2015) Fund. Math , vol.231 , Issue.1 , pp. 57-79
    • Barto, D.1    Šovákwiatkowska, A.2
  • 3
    • 79959307576 scopus 로고    scopus 로고
    • Model-theoretic independence in the Banach lattices Lp(μ)
    • MR2811161
    • I. Ben Yaacov, A. Berenstein, and C. W. Henson, Model-theoretic independence in the Banach lattices Lp(μ), Israel J. Math. 183 (2011), 285–320, DOI:10.1007/s11856-011-0050-4. MR2811161
    • (2011) Israel J. Math , vol.183 , pp. 285-320
    • Ben Yaacov, I.1    Berenstein, A.2    Henson, C.W.3
  • 4
    • 58449108287 scopus 로고    scopus 로고
    • Model theory for metric structures, Model theory with applications to algebra and analysis
    • Cambridge Univ. Press, Cambridge, MR2436146
    • I. Ben Yaacov, A. Berenstein, C. W. Henson, and A. Usvyatsov, Model theory for metric structures, Model theory with applications to algebra and analysis. Vol. 2, London Math. Soc. Lecture Note Ser., vol. 350, Cambridge Univ. Press, Cambridge, 2008, pp. 315–427, DOI:10.1017/CBO9780511735219.011. MR2436146
    • (2008) London Math. Soc. Lecture Note Ser , vol.350 , pp. 315-427
    • Ben Yaacov, I.1    Berenstein, A.2    Henson, C.W.3    Usvyatsov, A.4
  • 5
    • 84876438615 scopus 로고    scopus 로고
    • Polish topometric groups
    • MR3042607
    • Ben Yaacov, A. Berenstein, and J. Melleray, Polish topometric groups, Trans. Amer. Math. Soc. 365 (2013), no. 7, 3877–3897, DOI:10.1090/S0002-9947-2013-05773-X. MR3042607
    • (2013) Trans. Amer. Math. Soc , vol.365 , Issue.7 , pp. 3877-3897
    • Yaacov, B.1    Berenstein, A.2    Melleray, J.3
  • 6
    • 34250202183 scopus 로고    scopus 로고
    • On d-finiteness in continuous structures, Fund
    • MR2291717
    • I. Ben Yaacov and A. Usvyatsov, On d-finiteness in continuous structures, Fund. Math. 194 (2007), no. 1, 67–88, DOI:10.4064/fm194-1-4. MR2291717
    • (2007) Math , vol.194 , Issue.1 , pp. 67-88
    • Ben Yaacov, I.1    Usvyatsov, A.2
  • 7
    • 0004252602 scopus 로고
    • A course in functional analysis, 2nd ed
    • Springer-Verlag, New York, MR1070713
    • J. B. Conway, A course in functional analysis, 2nd ed., Graduate Texts in Mathematics, vol. 96, Springer-Verlag, New York, 1990. MR1070713
    • (1990) Graduate Texts in Mathematics , vol.96
    • Conway, J.B.1
  • 8
    • 84960523574 scopus 로고    scopus 로고
    • Minimality conditions in topological groups
    • III, Atlantis Press, Paris, MR3205486
    • D. Dikranjan and M. Megrelishvili, Minimality conditions in topological groups, Recent progress in general topology. III, Atlantis Press, Paris, 2014, pp. 229–327, DOI:10.2991/978-94-6239-024-9\6. MR3205486
    • (2014) Recent Progress in General Topology , pp. 229-327
    • Dikranjan, D.1    Megrelishvili, M.2
  • 9
    • 15944428082 scopus 로고
    • Minimality of the group Autohomeom(C)
    • MR1201115
    • D. Gamarnik, Minimality of the group Autohomeom(C), Serdica 17 (1991), no. 4, 197–201. MR1201115
    • (1991) Serdica , vol.17 , Issue.4 , pp. 197-201
    • Gamarnik, D.1
  • 10
    • 0001678313 scopus 로고
    • Topological group structures of infinite symmetric groups
    • MR0215940
    • E. D. Gaughan, Topological group structures of infinite symmetric groups, Proc. Nat. Acad. Sci. U.S.A. 58 (1967), 907–910. MR0215940
    • (1967) Proc. Nat. Acad. Sci. U.S.A. , vol.58 , pp. 907-910
    • Gaughan, E.D.1
  • 11
    • 84865341232 scopus 로고    scopus 로고
    • The group Aut(μ) is Roelcke precompact
    • 2957245
    • E. Glasner, The group Aut(μ) is Roelcke precompact, Canad. Math. Bull. 55 (2012), no. 2, 297–302, DOI:10.4153/CMB-2011-083-2. MR2957245
    • (2012) Canad. Math. Bull , vol.55 , Issue.2 , pp. 297-302
    • Glasner, E.1
  • 12
    • 0001567307 scopus 로고
    • Critères de compacité dans les espaces fonctionnels généraux (French)
    • MR0047313
    • A. Grothendieck, Critères de compacité dans les espaces fonctionnels généraux (French), Amer. J. Math. 74 (1952), 168–186. MR0047313
    • (1952) Amer. J. Math , vol.74 , pp. 168-186
    • Grothendieck, A.1
  • 13
    • 59349113575 scopus 로고    scopus 로고
    • New algebras of functions on topological groups arising from G-spaces
    • 2439022
    • E. Glasner and M. Megrelishvili, New algebras of functions on topological groups arising from G-spaces, Fund. Math. 201 (2008), no. 1, 1–51, DOI:10.4064/fm201-1-1. MR2439022
    • (2008) Fund. Math , vol.201 , Issue.1 , pp. 1-51
    • Glasner, E.1    Megrelishvili, M.2
  • 14
    • 84962994611 scopus 로고
    • The small index property for ω- stable ω-categorical structures and for the random graph
    • MR1231710
    • W. Hodges, I. Hodkinson, D. Lascar, and S. Shelah, The small index property for ω- stable ω-categorical structures and for the random graph, J. London Math. Soc. (2) 48 (1993), no. 2, 204–218, DOI:10.1112/jlms/s2-48.2.204. MR1231710
    • (1993) J. London Math. Soc , vol.2-48 , Issue.2 , pp. 204-218
    • Hodges, W.1    Hodkinson, I.2    Lascar, D.3    Shelah, S.4
  • 16
    • 33746135627 scopus 로고    scopus 로고
    • Projective Fraïssé limits and the pseudo-arc
    • (electronic), MR2216259
    • T. Irwin and S. Solecki, Projective Fraïssé limits and the pseudo-arc, Trans. Amer. Math. Soc. 358 (2006), no. 7, 3077–3096 (electronic), DOI:10.1090/S0002-9947-06-03928-6. MR2216259
    • (2006) Trans. Amer. Math. Soc , vol.358 , Issue.7 , pp. 3077-3096
    • Irwin, T.1    Solecki, S.2
  • 17
    • 34347348205 scopus 로고    scopus 로고
    • Turbulence, amalgamation, and generic automorphisms of homogeneous structures
    • 2308230
    • A. S. Kechris and C. Rosendal, Turbulence, amalgamation, and generic automorphisms of homogeneous structures, Proc. Lond. Math. Soc. (3) 94 (2007), no. 2, 302–350, DOI:10.1112/plms/pdl007. MR2308230
    • (2007) Proc. Lond. Math. Soc , vol.3-94 , Issue.2 , pp. 302-350
    • Kechris, A.S.1    Rosendal, C.2
  • 18
    • 79956225503 scopus 로고    scopus 로고
    • A survey of homogeneous structures
    • MR2800979
    • D. Macpherson, A survey of homogeneous structures, Discrete Math. 311 (2011), no. 15, 1599–1634, DOI:10.1016/j.disc.2011.01.024. MR2800979
    • (2011) Discrete Math , vol.311 , Issue.15 , pp. 1599-1634
    • Macpherson, D.1
  • 19
    • 84925487944 scopus 로고    scopus 로고
    • Generic elements in isometry groups of Polish ultrametric spaces
    • 3319634
    • M. Malicki, Generic elements in isometry groups of Polish ultrametric spaces, Israel J. Math. 206 (2015), no. 1, 127–153, DOI:10.1007/s11856-014-1128-6. MR3319634
    • (2015) Israel J. Math , vol.206 , Issue.1 , pp. 127-153
    • Malicki, M.1
  • 20
    • 0041330539 scopus 로고    scopus 로고
    • Every semitopological semigroup compactification of the group H+[0, 1] is trivial
    • MR1851816
    • M. G. Megrelishvili, Every semitopological semigroup compactification of the group H+[0, 1] is trivial, Semigroup Forum 63 (2001), no. 3, 357–370, DOI:10.1007/s002330010076. MR1851816
    • (2001) Semigroup Forum , vol.63 , Issue.3 , pp. 357-370
    • Megrelishvili, M.G.1
  • 21
    • 0012894741 scopus 로고    scopus 로고
    • Operator topologies and reflexive representability, Nuclear groups and Lie groups (Madrid, 1999)
    • Heldermann, Lemgo, MR1858149
    • M. G. Megrelishvili, Operator topologies and reflexive representability, Nuclear groups and Lie groups (Madrid, 1999), Res. Exp. Math., vol. 24, Heldermann, Lemgo, 2001, pp. 197–208. MR1858149
    • (2001) Res. Exp. Math , vol.24 , pp. 197-208
    • Megrelishvili, M.G.1
  • 22
    • 34248376091 scopus 로고    scopus 로고
    • The isometry group of the Urysohn space as a Lévy group
    • MR2324929
    • V. Pestov, The isometry group of the Urysohn space as a Lévy group, Topology Appl. 154 (2007), no. 10, 2173–2184, DOI:10.1016/j.topol.2006.02.010. MR2324929
    • (2007) Topology Appl , vol.154 , Issue.10 , pp. 2173-2184
    • Pestov, V.1
  • 24
    • 62449182655 scopus 로고    scopus 로고
    • A topological version of the Bergman property
    • MR2503307
    • C. Rosendal, A topological version of the Bergman property, Forum Math. 21 (2009), no. 2, 299–332, DOI:10.1515/FORUM.2009.014. MR2503307
    • (2009) Forum Math , vol.21 , Issue.2 , pp. 299-332
    • Rosendal, C.1
  • 25
    • 84904513649 scopus 로고    scopus 로고
    • Global and local boundedness of Polish groups, Indiana Univ
    • MR3188557
    • C. Rosendal, Global and local boundedness of Polish groups, Indiana Univ. Math. J. 62 (2013), no. 5, 1621–1678, DOI:10.1512/iumj.2013.62.5133. MR3188557
    • (2013) Math. J , vol.62 , Issue.5 , pp. 1621-1678
    • Rosendal, C.1
  • 26
    • 0002850844 scopus 로고
    • Compact semitopological semigroups: An intrinsic theory
    • Springer-Verlag, Berlin, MR762985
    • W. Ruppert, Compact semitopological semigroups: an intrinsic theory, Lecture Notes in Mathematics, vol. 1079, Springer-Verlag, Berlin, 1984. MR762985
    • (1984) Lecture Notes in Mathematics , vol.1079
    • Ruppert, W.1
  • 27
    • 51649154351 scopus 로고
    • On group topologies and idempotents in weak almost periodic compactifications
    • MR1029258
    • W. A. F. Ruppert, On group topologies and idempotents in weak almost periodic compactifications, Semigroup Forum 40 (1990), no. 2, 227–237, DOI:10.1007/BF02573269. MR1029258
    • (1990) Semigroup Forum , vol.40 , Issue.2 , pp. 227-237
    • Ruppert, W.A.F.1
  • 29
    • 0000347823 scopus 로고
    • Total minimality of the unitary groups
    • MR753438
    • L. Stojanov, Total minimality of the unitary groups, Math. Z. 187 (1984), no. 2, 273–283, DOI:10.1007/BF01161710. MR753438
    • (1984) Math. Z , vol.187 , Issue.2 , pp. 273-283
    • Stojanov, L.1
  • 30
    • 84862602858 scopus 로고    scopus 로고
    • Unitary representations of oligomorphic groups
    • MR2929072
    • T. Tsankov, Unitary representations of oligomorphic groups, Geom. Funct. Anal. 22 (2012), no. 2, 528–555, DOI:10.1007/s00039-012-0156-9. MR2929072
    • (2012) Geom. Funct. Anal , vol.22 , Issue.2 , pp. 528-555
    • Tsankov, T.1
  • 31
    • 84880746371 scopus 로고    scopus 로고
    • Automatic continuity for the unitary group
    • MR3080189
    • T. Tsankov, Automatic continuity for the unitary group, Proc. Amer. Math. Soc. 141 (2013), no. 10, 3673–3680, DOI:10.1090/S0002-9939-2013-11666-7. MR3080189
    • (2013) Proc. Amer. Math. Soc , vol.141 , Issue.10 , pp. 3673-3680
    • Tsankov, T.1
  • 32
    • 15944384706 scopus 로고    scopus 로고
    • The Roelcke compactification of groups of homeomorphisms
    • V. V. Uspenskiĭ, The Roelcke compactification of groups of homeomorphisms, Topology Appl. 111 (2001), no. 1-2, 195–205.
    • (2001) Topology Appl , vol.111 , Issue.1-2 , pp. 195-205
    • Uspenskiĭ, V.V.1
  • 33
    • 0001504899 scopus 로고
    • On the group of isometries of the Urysohn universal metric space, Comment
    • V. Uspenskiĭ, On the group of isometries of the Urysohn universal metric space, Comment. Math. Univ. Carolin. 31 (1990), no. 1, 181–182.
    • (1990) Math. Univ. Carolin , vol.31 , Issue.1 , pp. 181-182
    • Uspenskiĭ, V.1
  • 36
    • 45849146474 scopus 로고    scopus 로고
    • On subgroups of minimal topological groups
    • V. Uspenskiĭ, On subgroups of minimal topological groups, Topology Appl. 155 (2008), no. 14, 1580–1606.
    • (2008) Topology Appl , vol.155 , Issue.14 , pp. 1580-1606
    • Uspenskiĭ, V.1
  • 37
    • 0002222354 scopus 로고
    • Relational structures and dimensions
    • Oxford Sci. Publ., Oxford Univ. Press, New York, MR1325473
    • F. O. Wagner, Relational structures and dimensions, Automorphisms of first-order structures, Oxford Sci. Publ., Oxford Univ. Press, New York, 1994, pp. 153–180. MR1325473
    • (1994) Automorphisms of First-Order Structures , pp. 153-180
    • Wagner, F.O.1


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