20.500.12556/DKUM-49385 Paths through inverse limits 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. 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 true true false Angleški jezik Neznan jezik Delo ni kategorizirano 2015-07-10 12:01:49 2015-07-10 12:01:49 2024-03-18 13:55:27 2019-07-10 21:28:37 2009 0 0 str. 1-24 št. 1107 Vol. 47 2009 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1318-4865 515.126 44310272 15352409 URN:SI:UM:DK:VW6DUKCQ http://www.imfm.si/preprinti/PDF/01107.pdf 1 https://dk.um.si/Dokument.php?lang=slv&id=73944 Fakulteta za naravoslovje in matematiko 0 0 0