Approximate systems with confluent bonding mappings

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Lončar, Ivan;
(2001)
  • Publisher: Croatian Mathematical Society and Department of Mathematics, University of Zagreb
  • Journal: Glasnik matematički,volume 36,issue 1 (issn: 0017-095X, eissn: 1846-7989)
  • Publisher copyright policies & self-archiving
  • Subject: Confluent mappings; approximate inverse system

If X = {Xn, pnm, N} is a usual inverse system with confluent (monotone) bonding mappings, then the projections are confluent (monotone). This is not true for approximate inverse system. The main purpose of this paper is to show that the property of Kelley (smoothness) o... View more
  • References (16)
    16 references, page 1 of 2

    [1] R.A. Alo and H.L. Shapiro, Normal topological spaces, Cambridge Univ. Press, 1974.

    [2] M.G. Charalambous, Approximate inverse systems of uniform spaces and an application of inverse systems, Comment. Math. Univ. Carolinae, 32, 33(1991), 551-565.

    [3] W.J. Charatonik, Inverse limits of smooth continua, Commentationes Math. Univ. Carolinae 23 (1982), 183-191.

    [4] J.J Charatonik and W.J. Charatonik, On projections and limiting mappings of inverse systems of compact spaces, Topology and its Applications 16 (1983), 1-9.

    [5] S.T. Czuba, On dendroids with Kelley's property, Proc. Amer. Math. Soc. 102(1988), 728 - 730.

    [6] R. Engelking, General Topology, PWN, Warszawa, 1977.

    [7] I. Loncar, A note on approximate limits, Zbornik radova FOI Varazdin 19 (1995), 1 - 21.

    [8] I. Loncar, Set convergence and local connectedness of approximate limits, Acta Mathematica Hungarica 77 (3) (1997), 193 - 213.

    [9] T. Mackowiak, On smooth continua, Fund. Math. 85(1974), 79-95

    [10] S. Mardesic, On approximate inverse systems and resolutions, Fund. Math. 142(1993),241-255.

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