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Volumn 281, Issue 7, 2008, Pages 930-950

Topological torsion related to some recursive sequences of integers

Author keywords

Continued fraction; Recursive sequences; Second order recurrence; Sequence of integers; Topologically torsion element

Indexed keywords


EID: 55449131355     PISSN: 0025584X     EISSN: 15222616     Source Type: Journal    
DOI: 10.1002/mana.200510650     Document Type: Article
Times cited : (28)

References (34)
  • 2
    • 0038307388 scopus 로고    scopus 로고
    • Answer to Raczkowski's quests on convergent sequences
    • G. Barbieri, D. Dikranjan, C. Milan, and H. Weber, Answer to Raczkowski's quests on convergent sequences, Topology Appl. 132, No. 1, 89-101 (2003).
    • (2003) Topology Appl , vol.132 , Issue.1 , pp. 89-101
    • Barbieri, G.1    Dikranjan, D.2    Milan, C.3    Weber, H.4
  • 3
    • 33750465013 scopus 로고    scopus 로고
    • Convergent sequences in precompact group topologies
    • G. Barbieri, D. Dikranjan, C. Milan, and H. Weber, Convergent sequences in precompact group topologies, Appl. Gen. Topol. 6, No. 2, 149-169 (2005).
    • (2005) Appl. Gen. Topol , vol.6 , Issue.2 , pp. 149-169
    • Barbieri, G.1    Dikranjan, D.2    Milan, C.3    Weber, H.4
  • 4
    • 55449091375 scopus 로고    scopus 로고
    • G. Barbieri, D. Dikranjan, C. Milan, and H. Weber, t-dense subgroups of topological abelian groups, Quest. Answers Gen. Topology 24, No. 2, 99-118 (2006).
    • G. Barbieri, D. Dikranjan, C. Milan, and H. Weber, t-dense subgroups of topological abelian groups, Quest. Answers Gen. Topology 24, No. 2, 99-118 (2006).
  • 6
    • 35348973000 scopus 로고    scopus 로고
    • Strong characterizing sequences of countable subgroups
    • M. Beiglböck, Strong characterizing sequences of countable subgroups, J. Number Theory 127, No. 2, 145-152 (2007).
    • (2007) J. Number Theory , vol.127 , Issue.2 , pp. 145-152
    • Beiglböck, M.1
  • 7
    • 33645957387 scopus 로고    scopus 로고
    • Sequences and filters of characters characterizing subgroups of compact abelian groups
    • M. Beiglböck, C. Steineder, and R. Winkler, Sequences and filters of characters characterizing subgroups of compact abelian groups, Topology Appl. 153, No. 11, 1682-1695 (2006).
    • (2006) Topology Appl , vol.153 , Issue.11 , pp. 1682-1695
    • Beiglböck, M.1    Steineder, C.2    Winkler, R.3
  • 8
    • 33748944164 scopus 로고    scopus 로고
    • Strong characterizing sequences for subgroups of compact groups
    • A. Bíŕo, Strong characterizing sequences for subgroups of compact groups, J. Number Theory 121, No. 2, 324-354 (2006).
    • (2006) J. Number Theory , vol.121 , Issue.2 , pp. 324-354
    • Bíŕo, A.1
  • 10
    • 0344080582 scopus 로고    scopus 로고
    • Strong characterizing sequences in simultaneous Diophantine approximation
    • A. Bíró and V. Sós, Strong characterizing sequences in simultaneous Diophantine approximation, J. Number Theory 99, No. 2, 405-414 (2003).
    • (2003) J. Number Theory , vol.99 , Issue.2 , pp. 405-414
    • Bíró, A.1    Sós, V.2
  • 11
    • 55449086235 scopus 로고
    • Sous-groupes de ℝ liés à répartition modulo 1 de suites
    • J. P. Borel, Sous-groupes de ℝ liés à répartition modulo 1 de suites, Ann. Fac. Sci. Toulouse Math. (5) 3-4, 217-235 (1983).
    • (1983) Ann. Fac. Sci. Toulouse Math. (5) , vol.3-4 , pp. 217-235
    • Borel, J.P.1
  • 12
    • 55449106218 scopus 로고
    • Sur certains sous-groupes de ℝ liés à la suite des factorielles
    • J. P. Borel, Sur certains sous-groupes de ℝ liés à la suite des factorielles, Colloq. Math. 62, No. 1, 21-30 (1991).
    • (1991) Colloq. Math , vol.62 , Issue.1 , pp. 21-30
    • Borel, J.P.1
  • 15
    • 1542744642 scopus 로고    scopus 로고
    • Topologically torsion elements of topological groups
    • D. Dikranjan, Topologically torsion elements of topological groups, Topology Proc. 26, 505-532 (2001-2002).
    • (2001) Topology Proc , vol.26 , pp. 505-532
    • Dikranjan, D.1
  • 16
    • 33645965548 scopus 로고    scopus 로고
    • Closure operators in topological groups related to von Neumann's kernel
    • D. Dikranjan, Closure operators in topological groups related to von Neumann's kernel, Topology Appl. 153, No. 11, 1930-1955 (2006).
    • (2006) Topology Appl , vol.153 , Issue.11 , pp. 1930-1955
    • Dikranjan, D.1
  • 17
    • 1542508855 scopus 로고    scopus 로고
    • On Armacost's quest on topologically torsion elements
    • D. Dikranjan and R. Di Santo, On Armacost's quest on topologically torsion elements, Comm. Algebra 32, 133-146 (2004).
    • (2004) Comm. Algebra , vol.32 , pp. 133-146
    • Dikranjan, D.1    Di Santo, R.2
  • 18
    • 55449109978 scopus 로고    scopus 로고
    • A characterization of the circle group via uniqueness of roots
    • to appear
    • D. Dikranjan and R. Di Santo, A characterization of the circle group via uniqueness of roots, Topology Appl., to appear.
    • Topology Appl
    • Dikranjan, D.1    Di Santo, R.2
  • 19
    • 33750466571 scopus 로고    scopus 로고
    • Characterizing subgroups of compact abelian groups
    • D. Dikranjan and K. Kunen, Characterizing subgroups of compact abelian groups, J. Pure Appl. Algebra 208, 285-291 (2006).
    • (2006) J. Pure Appl. Algebra , vol.208 , pp. 285-291
    • Dikranjan, D.1    Kunen, K.2
  • 20
  • 22
    • 84960599423 scopus 로고
    • Sets of fractional dimensions which occur in some problems of number theory
    • H. G. Eggleston, Sets of fractional dimensions which occur in some problems of number theory, Proc. London Math. Soc. (2) 54, 42-93 (1952).
    • (1952) Proc. London Math. Soc. (2) , vol.54 , pp. 42-93
    • Eggleston, H.G.1
  • 24
    • 18444400577 scopus 로고    scopus 로고
    • Limits in function spaces and compact groups
    • J. Hart and K. Kunen, Limits in function spaces and compact groups, Topology Appl. 151, No. 1-3, 157-168 (2005).
    • (2005) Topology Appl , vol.151 , Issue.1-3 , pp. 157-168
    • Hart, J.1    Kunen, K.2
  • 25
    • 31844453685 scopus 로고    scopus 로고
    • Limits in compact abelian groups
    • J. Hart and K. Kunen, Limits in compact abelian groups, Topology Appl. 153, No. 7, 991-1002 (2006).
    • (2006) Topology Appl , vol.153 , Issue.7 , pp. 991-1002
    • Hart, J.1    Kunen, K.2
  • 27
    • 0003283083 scopus 로고
    • Classical Descriptive Set Theory
    • Springer-Verlag, New York
    • A. Kechris, Classical Descriptive Set Theory, Graduate Texts in Mathematics Vol. 15 (Springer-Verlag, New York, 1995).
    • (1995) Graduate Texts in Mathematics , vol.15
    • Kechris, A.1
  • 28
    • 84968487599 scopus 로고
    • Good approximations and continued fractions
    • C. Kraaikamp and P. Liardet, Good approximations and continued fractions, Proc. Amer. Math. Soc. (2) 112, 303-309 (1991).
    • (1991) Proc. Amer. Math. Soc. (2) , vol.112 , pp. 303-309
    • Kraaikamp, C.1    Liardet, P.2
  • 29
    • 0002386995 scopus 로고
    • A convergence problem connected with continued fractions
    • G. Larcher, A convergence problem connected with continued fractions, Proc. Amer. Math. Soc. 103, No. 3, 718-722 (1988).
    • (1988) Proc. Amer. Math. Soc , vol.103 , Issue.3 , pp. 718-722
    • Larcher, G.1
  • 30
  • 31
    • 0037818774 scopus 로고
    • Russian original
    • Russian original: Izv. Akad. Nauk SSSR Ser. Mat. 54, 1090-1107 (1990).
    • (1990) Izv. Akad. Nauk SSSR Ser. Mat , vol.54 , pp. 1090-1107
  • 32
    • 84968484231 scopus 로고
    • Connectivity, divisibility, and torsion
    • L. Robertson, Connectivity, divisibility, and torsion, Trans. Amer. Math. Soc. 128, 482-505 (1967).
    • (1967) Trans. Amer. Math. Soc , vol.128 , pp. 482-505
    • Robertson, L.1
  • 33
    • 1542429733 scopus 로고
    • A contribution to the theory of direct decompositions of topological groups
    • N. Vilenkin, A contribution to the theory of direct decompositions of topological groups, C. R. (Doklady) Acad. Sci. URSS (N.S.) 47, 611-613 (1945).
    • (1945) C. R. (Doklady) Acad. Sci. URSS (N.S.) , vol.47 , pp. 611-613
    • Vilenkin, N.1
  • 34
    • 0036545049 scopus 로고    scopus 로고
    • Ergodic group rotations, Hartman sets and Kronecker sequences (dedicated to Edmund Hlawka on the occasion of his 85th birthday)
    • R. Winkler, Ergodic group rotations, Hartman sets and Kronecker sequences (dedicated to Edmund Hlawka on the occasion of his 85th birthday), Monatsh. Math. 135, No. 4, 333-343 (2002).
    • (2002) Monatsh. Math , vol.135 , Issue.4 , pp. 333-343
    • Winkler, R.1


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