20.500.12556/DKUM-51982 Ważewski's universal dendrite as an inverse limit with one set-valued bonding function Univerzalni dendrit Ważevskega kot inverzna limita z eno večlično vezno preslikavo Konstruirana je družina navzgor polzveznih večličnih funkcij ▫$f:[0,1] rightarrow 2^{[0,1]}$▫, za katere velja, da je inverzna limita inverznega zaporedja intervalov ▫$[0,1]$▫ in ▫$f$▫ kot edine vezne preslikave homeomorfna univerzalnemu dendritu Ważevskega. We construct a family of upper semi-continuous set-valued functions ▫$f colon [0, 1] to 2^{[0,1]}$▫ (belonging to the class of so-called comb functions), such that for each of them the inverse limit of the inverse sequence of intervals ▫$[0, 1]$▫ and ▫$f$▫ as the only bonding function is homeomorphic to Ważewski's universal dendrite. Among other results we also present a complete characterization of comb functions for which the inverse limits of the above type are dendrites. topologija kontinuum inverzna limita večlična funkcija dendrit univerzalni dendrit Ważevskega topology continua inverse limits upper semi-continuous functions dendrites Ważewski's universal dendrite true true false Angleški jezik Slovenski jezik Članek v reviji 2015-07-10 15:28:03 2015-07-10 15:28:03 2024-03-15 14:32:28 2021-05-09 03:37:06 2012 0 0 str. 1-33 št. 1169 Vol. 50 2012 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 515.126 15706713 16194137 2232-2094 URN:SI:UM:DK:GKV3YDTZ http://www.imfm.si/preprinti/PDF/01169.pdf 1 https://dk.um.si/Dokument.php?lang=slv&id=76542 Fakulteta za naravoslovje in matematiko 0 0 0