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  • Paths through inverse limits
    Banič, Iztok ...
    In [I.Banič, M. Črepnjak, M. Merhar, U. Milutinović, Limits of inverse limits, Topology Appl. 157 (2010) 439-450] the authors proved that if a sequence of graphs of surjective upper semi-continuous ... set-valued functions ▫$f_n: X \rightarrow 2^X$▫ converges to the graph of a continuous single-valued function ▫$f: X \rightarrow X$▫, then the sequence of corresponding inverse limits obtained from ▫$f_n$▫ converges to the inverse limit obtained from ▫$f$▫. In this paper a more general result is presented in which surjectivity of ▫$f_n$▫ is not required. Also, the result is generalized to the case of inverse sequences with non-constant sequences of bonding maps. Finally, these new theorems are applied to inverse limits with tent maps. Among other applications it is shown that the inverse limits appearing in the Ingram conjecture (with a point added) form an arc.
    Vir: Preprint series. - ISSN 1318-4865 (Vol. 47, št. 1107, 2009, str. 1-24)
    Vrsta gradiva - članek, sestavni del
    Leto - 2009
    Jezik - angleški
    COBISS.SI-ID - 15352409

    Povezava(-e):

    Digitalna knjižnica Univerze v Mariboru – DKUM

vir: Preprint series. - ISSN 1318-4865 (Vol. 47, št. 1107, 2009, str. 1-24)

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