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Volumn 159, Issue 9, 2012, Pages 2367-2377

Dual topologies on non-abelian groups

Author keywords

Narrow group; Narrow uniform space; Compact group; Determined group; Dual topological group; Lindel f number; Maximally almost periodic group; Tannaka Kre n duality; Totally bounded group

Indexed keywords


EID: 84860836997     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2011.08.031     Document Type: Article
Times cited : (6)

References (32)
  • 1
    • 61549114180 scopus 로고    scopus 로고
    • Topological Groups and Related Structures
    • World Scientific/Atlantis Press, Hackensack, NJ/Paris
    • Arhangel'skiǐ A., Tkachenko M. Topological Groups and Related Structures. Atlantis Stud. Math. 2008, vol. 1. World Scientific/Atlantis Press, Hackensack, NJ/Paris.
    • (2008) Atlantis Stud. Math. , vol.1
    • Arhangel'skiǐ, A.1    Tkachenko, M.2
  • 2
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups
    • Dissertation, Tübingen, 1998, Polska Akademia Nauk, Instytut Matematyczny, Warszawa
    • Außenhofer L. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. Dissertationes Math. (Rozprawy Mat.) 1999, CCCLXXXIV. Dissertation, Tübingen, 1998, Polska Akademia Nauk, Instytut Matematyczny, Warszawa.
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384
    • Außenhofer, L.1
  • 3
    • 0032221011 scopus 로고    scopus 로고
    • Pontryagin duality for metrizable groups
    • Chasco M.J. Pontryagin duality for metrizable groups. Arch. Math. 1998, 70:22-28.
    • (1998) Arch. Math. , vol.70 , pp. 22-28
    • Chasco, M.J.1
  • 4
    • 79960894258 scopus 로고    scopus 로고
    • Some cases of preservation of the Pontryagin dual by taking dense subgroups
    • Chasco M.J., Domínguez X., Trigos-Arrieta F.J. Some cases of preservation of the Pontryagin dual by taking dense subgroups. Topology Appl. 2011, 158(14):1836-1843.
    • (2011) Topology Appl. , vol.158 , Issue.14 , pp. 1836-1843
    • Chasco, M.J.1    Domínguez, X.2    Trigos-Arrieta, F.J.3
  • 5
    • 4444276224 scopus 로고
    • Compactification and duality of topological groups
    • Chu H. Compactification and duality of topological groups. Trans. Amer. Math. Soc. 1966, 123:310-324.
    • (1966) Trans. Amer. Math. Soc. , vol.123 , pp. 310-324
    • Chu, H.1
  • 6
    • 0001854919 scopus 로고
    • Topological groups
    • North-Holland, Amsterdam, K. Kunen, J. Vaughan (Eds.)
    • Comfort W.W. Topological groups. Handbook of Set Theoretic Topology 1984, 1143-1264. North-Holland, Amsterdam. K. Kunen, J. Vaughan (Eds.).
    • (1984) Handbook of Set Theoretic Topology , pp. 1143-1264
    • Comfort, W.W.1
  • 8
    • 0000816928 scopus 로고
    • Topologies induced by groups of characters
    • Comfort W.W., Ross K.A. Topologies induced by groups of characters. Fund. Math. 1964, 55:283-291.
    • (1964) Fund. Math. , vol.55 , pp. 283-291
    • Comfort, W.W.1    Ross, K.A.2
  • 9
    • 70350728802 scopus 로고    scopus 로고
    • Quasi-convex density and determining subgroups of compact Abelian groups
    • Dikranjan D., Shakhmatov D. Quasi-convex density and determining subgroups of compact Abelian groups. J. Math. Anal. Appl. 2010, 363(1):42-48.
    • (2010) J. Math. Anal. Appl. , vol.363 , Issue.1 , pp. 42-48
    • Dikranjan, D.1    Shakhmatov, D.2
  • 11
    • 84860836768 scopus 로고    scopus 로고
    • Non-abelian determined groups, preprint.
    • M.V. Ferrer, S. Hernández, Non-abelian determined groups, preprint.
    • Ferrer, M.V.1    Hernández, S.2
  • 12
    • 0013503172 scopus 로고    scopus 로고
    • The concept of boundedness and the Bohr compactification of a MAP abelian group
    • Galindo J., Hernández S. The concept of boundedness and the Bohr compactification of a MAP abelian group. Fund. Math. 1999, 159(3):195-218.
    • (1999) Fund. Math. , vol.159 , Issue.3 , pp. 195-218
    • Galindo, J.1    Hernández, S.2
  • 13
    • 4444234577 scopus 로고    scopus 로고
    • Interpolation sets and the Bohr topology of locally compact groups
    • Galindo J., Hernández S. Interpolation sets and the Bohr topology of locally compact groups. Adv. Math. 2004, 188:51-68.
    • (2004) Adv. Math. , vol.188 , pp. 51-68
    • Galindo, J.1    Hernández, S.2
  • 14
    • 4444234537 scopus 로고    scopus 로고
    • Bohr compactifications of non-abelian groups
    • in: Proceedings of the 16th Summer Conference on General Topology and Its Applications (New York). 02.
    • J.E. Hart, K. Kunen, Bohr compactifications of non-abelian groups, in: Proceedings of the 16th Summer Conference on General Topology and Its Applications (New York), vol. 26, 2001/02, pp. 593-626.
    • (2001) , vol.26 , pp. 593-626
    • Hart, J.E.1    Kunen, K.2
  • 15
    • 60549087122 scopus 로고    scopus 로고
    • The Bohr topology of non abelian groups
    • Hernández S. The Bohr topology of non abelian groups. J. Lie Theory 2008, 18(3):733-746.
    • (2008) J. Lie Theory , vol.18 , Issue.3 , pp. 733-746
    • Hernández, S.1
  • 16
    • 33750076335 scopus 로고    scopus 로고
    • Some new results on the Chu duality of discrete groups
    • Hernández S., Wu Ta-Sun Some new results on the Chu duality of discrete groups. Monatsh. Math. 2006, 149:215-232.
    • (2006) Monatsh. Math. , vol.149 , pp. 215-232
    • Hernández, S.1    Wu, T.-S.2
  • 17
    • 51249101689 scopus 로고    scopus 로고
    • Uncountable products of determined groups need not be determined
    • Hernández S., Macario S., Trigos-Arrieta F.J. Uncountable products of determined groups need not be determined. J. Math. Anal. Appl. 2008, 348(2):834-842.
    • (2008) J. Math. Anal. Appl. , vol.348 , Issue.2 , pp. 834-842
    • Hernández, S.1    Macario, S.2    Trigos-Arrieta, F.J.3
  • 19
    • 4944248971 scopus 로고
    • Dualität lokalkompakter Gruppen
    • Springer-Verlag, Berlin
    • Heyer H. Dualität lokalkompakter Gruppen. Lecture Notes in Math. 1970, vol. 150. Springer-Verlag, Berlin.
    • (1970) Lecture Notes in Math. , vol.150
    • Heyer, H.1
  • 20
    • 0012669931 scopus 로고    scopus 로고
    • The Structure of Compact Groups: A Primer for Students-a Handbook for the Expert
    • Berlin, New York
    • Hofmann K.H., Morris S.A. The Structure of Compact Groups: A Primer for Students-a Handbook for the Expert. de Gruyter Stud. Math. 2006, Berlin, New York.
    • (2006) de Gruyter Stud. Math.
    • Hofmann, K.H.1    Morris, S.A.2
  • 21
    • 0003363409 scopus 로고
    • Uniform Spaces
    • Amer. Math. Soc., Providence, RI
    • Isbell J.R. Uniform Spaces. Math. Surveys 1964, vol. 12. Amer. Math. Soc., Providence, RI.
    • (1964) Math. Surveys , vol.12
    • Isbell, J.R.1
  • 22
    • 0000215959 scopus 로고
    • An introduction to Tannaka Krein duality and quantum groups
    • Springer-Verlag, Berlin, Heidelberg
    • Joyal A., Street R. An introduction to Tannaka Krein duality and quantum groups. Lecture Notes in Math. 1991, vol. 1488:411-492. Springer-Verlag, Berlin, Heidelberg.
    • (1991) Lecture Notes in Math. , vol.1488 , pp. 411-492
    • Joyal, A.1    Street, R.2
  • 23
    • 0038458815 scopus 로고    scopus 로고
    • On homomorphism spaces of metrizable groups
    • Lukács G. On homomorphism spaces of metrizable groups. J. Pure Appl. Algebra 2003, 182(2-3):263-267.
    • (2003) J. Pure Appl. Algebra , vol.182 , Issue.2-3 , pp. 263-267
    • Lukács, G.1
  • 24
    • 84976003905 scopus 로고
    • Radon-Nikodým compact spaces and fragmentability
    • Namioka I. Radon-Nikodým compact spaces and fragmentability. Mathematika 1987, 34(2):258-281.
    • (1987) Mathematika , vol.34 , Issue.2 , pp. 258-281
    • Namioka, I.1
  • 25
    • 84968480677 scopus 로고
    • Almost periodic functions in a group
    • von Neumann J. Almost periodic functions in a group. Trans. Amer. Math. Soc. 1934, 36:445-492.
    • (1934) Trans. Amer. Math. Soc. , vol.36 , pp. 445-492
    • von Neumann, J.1
  • 26
    • 33750079899 scopus 로고
    • A universal property of the Takahashi quasi-dual
    • Poguntke D. A universal property of the Takahashi quasi-dual. Canad. J. Math. 1972, 24:530-536.
    • (1972) Canad. J. Math. , vol.24 , pp. 530-536
    • Poguntke, D.1
  • 27
    • 33750060342 scopus 로고
    • Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen
    • Poguntke D. Chu-Dualität und zwei Klassen maximal fastperiodischer Gruppen. Monatsh. Math. 1976, 82(1):31-50.
    • (1976) Monatsh. Math. , vol.82 , Issue.1 , pp. 31-50
    • Poguntke, D.1
  • 28
    • 33750078725 scopus 로고
    • Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen
    • Poguntke D. Zwei Klassen lokalkompakter maximal fastperiodischer Gruppen. Monatsh. Math. 1976, 81(1):15-40.
    • (1976) Monatsh. Math. , vol.81 , Issue.1 , pp. 15-40
    • Poguntke, D.1
  • 29
    • 84860834874 scopus 로고    scopus 로고
    • On infinite groups and unitary duality, PhD thesis, Case Western Reserve University, Cleveland, OH.
    • L. Riggins, On infinite groups and unitary duality, PhD thesis, Case Western Reserve University, Cleveland, OH, 1998.
    • (1998)
    • Riggins, L.1
  • 30
    • 33750037993 scopus 로고
    • A characterization of unitary duality
    • Roeder D.W. A characterization of unitary duality. Trans. Amer. Math. Soc. 1970, 148:129-135.
    • (1970) Trans. Amer. Math. Soc. , vol.148 , pp. 129-135
    • Roeder, D.W.1
  • 32
    • 84876576225 scopus 로고    scopus 로고
    • Convergent sequences in discrete groups, Canad
    • in press. doi:10.4153/CMB-2011-155-3
    • A. Thom, Convergent sequences in discrete groups, Canad. Math. Bull., , in press. doi:10.4153/CMB-2011-155-3.
    • Math. Bull.
    • Thom, A.1


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