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Volumn 157, Issue 8, 2010, Pages 1347-1356

Countably infinite quasi-convex sets in some locally compact abelian groups

Author keywords

2 adic integers; Primary; Qc dense sets; Quasi convex sets; Secondary; Torus group

Indexed keywords


EID: 77951645263     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.topol.2009.04.065     Document Type: Article
Times cited : (10)

References (18)
  • 1
    • 0242694349 scopus 로고    scopus 로고
    • Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups
    • Außenhofer L. Contributions to the duality theory of abelian topological groups and to the theory of nuclear groups. Dissertationes Math. (Rozprawy Mat.) 1999, CCCLXXXIV.
    • (1999) Dissertationes Math. (Rozprawy Mat.) , vol.384
    • Außenhofer, L.1
  • 2
    • 77951628776 scopus 로고    scopus 로고
    • Locally convex group topologies on the integers, in preparation
    • L. Außenhofer, L. de Leo, D. Dikranjan, Locally convex group topologies on the integers, in preparation.
    • Außenhofer, L.1    de Leo, L.2    Dikranjan, D.3
  • 4
    • 0003208315 scopus 로고
    • Additive Subgroups of Topological Vector Spaces
    • Springer-Verlag, Berlin
    • Banaszczyk W. Additive Subgroups of Topological Vector Spaces. Lecture Notes in Math. 1991, vol. 1466. Springer-Verlag, Berlin.
    • (1991) Lecture Notes in Math. , vol.1466
    • Banaszczyk, W.1
  • 6
    • 77951639849 scopus 로고    scopus 로고
    • Grupos topológicos y grupos de convergencia: estudio de la dualidad de Pontryagin, PhD thesis
    • M. Bruguera, Grupos topológicos y grupos de convergencia: estudio de la dualidad de Pontryagin, PhD thesis, 1999.
    • (1999)
    • Bruguera, M.1
  • 9
    • 77951625785 scopus 로고    scopus 로고
    • Finite quasi-convex sets in topological groups, Thesis DEA, Universidad Complutense de Madrid, May 2005
    • L. de Leo, Finite quasi-convex sets in topological groups, Thesis DEA, Universidad Complutense de Madrid, May 2005.
    • de Leo, L.1
  • 10
    • 70350710514 scopus 로고    scopus 로고
    • PhD thesis, Universidad Complutense de Madrid, Colección Digital Tesis UCM, A
    • de Leo L. Weak and strong topologies in topological abelian groups April 2008, PhD thesis, Universidad Complutense de Madrid, Colección Digital Tesis UCM. http://eprints.ucm.es/8462/1/T30642.pdf.
    • (2008) Weak and strong topologies in topological abelian groups
    • de Leo, L.1
  • 11
    • 77951652093 scopus 로고    scopus 로고
    • On the quasi-convex hull of compact sets, Preprint, September
    • D. Dikranjan, On the quasi-convex hull of compact sets, Preprint, September 2005.
    • (2005)
    • Dikranjan, D.1
  • 12
    • 77951631069 scopus 로고    scopus 로고
    • Quasi convexity in locally finite abelian groups, Preprint, February
    • D. Dikranjan, Quasi convexity in locally finite abelian groups, Preprint, February 2008.
    • (2008)
    • Dikranjan, D.1
  • 13
    • 33750466571 scopus 로고    scopus 로고
    • Characterizing subgroups of compact abelian groups
    • Dikranjan D., Kunen K. Characterizing subgroups of compact abelian groups. J. Pure Appl. Algebra 2007, 208(1):285-291.
    • (2007) J. Pure Appl. Algebra , vol.208 , Issue.1 , pp. 285-291
    • Dikranjan, D.1    Kunen, K.2
  • 14
    • 77951629343 scopus 로고    scopus 로고
    • Quasi-convex sequences in the circle and the 3-adic integers
    • Dikranjan D., Lukács G. Quasi-convex sequences in the circle and the 3-adic integers. Topology Appl. 2010, 157(8):1357-1369.
    • (2010) Topology Appl. , vol.157 , Issue.8 , pp. 1357-1369
    • Dikranjan, D.1    Lukács, G.2
  • 15
    • 77951627282 scopus 로고    scopus 로고
    • Locally compact abelian groups admitting non-trivial quasi-convex null sequences, J. Pure Appl. Algebra, in press
    • D. Dikranjan, G. Lukács, Locally compact abelian groups admitting non-trivial quasi-convex null sequences, J. Pure Appl. Algebra, in press.
    • Dikranjan, D.1    Lukács, G.2
  • 16
    • 0040172259 scopus 로고    scopus 로고
    • A characterization of the Schur property by means of the Bohr topology
    • Hernández S., Galindo J., Macario S. A characterization of the Schur property by means of the Bohr topology. Topology Appl. 1999, 97:99-108.
    • (1999) Topology Appl. , vol.97 , pp. 99-108
    • Hernández, S.1    Galindo, J.2    Macario, S.3
  • 17
    • 0004160647 scopus 로고
    • Arlen Brown Gordon and Breach Science Publishers, Inc., New York, London, Paris, (transl. from Russian)
    • Pontryagin L. Topological Groups 1966, Arlen Brown Gordon and Breach Science Publishers, Inc., New York, London, Paris, (transl. from Russian).
    • (1966) Topological Groups
    • Pontryagin, L.1
  • 18
    • 0040271568 scopus 로고
    • The theory of characters of topological Abelian groups with boundedness given
    • Vilenkin N.Ya. The theory of characters of topological Abelian groups with boundedness given. Izv. Akad. Nauk SSSR Ser. Mat. 1951, 15.
    • (1951) Izv. Akad. Nauk SSSR Ser. Mat. , vol.15
    • Vilenkin, N.1


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