| Title: | Paths through inverse limits |
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| Authors: | ID Banič, Iztok (Author)
ID Črepnjak, Matevž (Author)
ID Merhar, Matej (Author)
ID Milutinović, Uroš (Author) |
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| Files: |  http://www.imfm.si/preprinti/PDF/01107.pdf
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| Language: | English |
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| Work type: | Not categorized |
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| Organization: | FNM - Faculty of Natural Sciences and Mathematics
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| Abstract: | 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. |
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| Keywords: | matematika, topologija, kontinuumi, limite, inverzne limite, navzgor polzvezne večlične funkcije, poti, loki, mathematics, topology, continua, limits, inverse limits, upper semi-continuous set-valued functions, paths, arcs |
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| Year of publishing: | 2009 |
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| Number of pages: | str. 1-24 |
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| Numbering: | Vol. 47, št. 1107 |
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| PID: | 20.500.12556/DKUM-49385  |
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| ISSN: | 1318-4865 |
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| UDC: | 515.126 |
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| COBISS.SI-ID: | 15352409 |
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| NUK URN: | URN:SI:UM:DK:VW6DUKCQ |
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| Publication date in DKUM: | 10.07.2015 |
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| Views: | 1697 |
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| Downloads: | 118 |
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| Metadata: |    |
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| Categories: | Misc.
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