| Naslov: | Paths through inverse limits |
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| Avtorji: | ID Banič, Iztok (Avtor)
ID Črepnjak, Matevž (Avtor)
ID Merhar, Matej (Avtor)
ID Milutinović, Uroš (Avtor) |
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| Datoteke: |  http://dx.doi.org/10.1016/j.topol.2011.03.001
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| Jezik: | Angleški jezik |
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| Vrsta gradiva: | Članek v reviji |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: | FNM - Fakulteta za naravoslovje in matematiko
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| Opis: | In Banič, Črepnjak, Merhar and Milutinović (2010) [2] the authors proved that if a sequence of graphs of surjective upper semi-continuous set-valued functions ▫$f_n : X to 2^X$▫ converges to the graph of a continuous single-valued function ▫$f : X to X$▫, 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. The result is also 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. |
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| Ključne besede: | mathematics, topology, continua, limits, inverse limits, upper semi-continuous set-valued functions, paths, arcs |
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| Leto izida: | 2011 |
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| PID: | 20.500.12556/DKUM-35367  |
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| UDK: | 515.126 |
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| COBISS.SI-ID: | 18474504 |
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| ISSN pri članku: | 0166-8641 |
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| NUK URN: | URN:SI:UM:DK:TZTXMW0M |
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| Datum objave v DKUM: | 07.06.2012 |
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| Število ogledov: | 2108 |
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| Število prenosov: | 110 |
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| Metapodatki: |    |
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| Področja: | Ostalo
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