20.500.12556/DKUM-35367 Paths through inverse limits 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. mathematics topology continua limits inverse limits upper semi-continuous set-valued functions paths arcs matematika topologija kontinuumi limite inverzne limite navzgor polzvezne večlične funkcije poti loki true true false Angleški jezik Slovenski jezik Članek v reviji 2012-06-07 10:46:34 2012-06-07 10:46:34 2024-03-18 12:14:32 2019-07-10 13:54:15 2011 0 0 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.126 18474504 0166-8641 URN:SI:UM:DK:TZTXMW0M http://dx.doi.org/10.1016/j.topol.2011.03.001 1 https://dk.um.si/Dokument.php?lang=slv&id=46269 Fakulteta za naravoslovje in matematiko 0 0 0