20.500.12556/DKUM-49388 Towards the complete classification of tent maps inverse limits We study tent map inverse limits, i.e. inverse limits of inverse sequences of unit segments ▫$I$▫ with a tent map being the only bonding function. As the main result we identify an infinite family of curves in ▫$I^2$▫ such that if top points of graphs of tent maps belong to the same curve, the corresponding inverse limits are homeomorphic, and if they belong to different curves, the inverse limits are non-homeomorphic. The inverse limits corresponding to certain families of top points are explicitly determined, and certain properties of the inverse limit are proved in the case of ▫$(0,1)$▫ as the top point. matematika topologija kontinuumi inverzne limite mathematics topology continua inverse limits tent maps Knaster continua true true false Angleški jezik Neznan jezik Članek v reviji 2015-07-10 12:02:17 2015-07-10 12:02:17 2024-03-15 15:20:49 2019-07-10 21:28:42 2010 0 0 str. 1-24 št. 1124 Vol. 48 2010 0000-00-00 NiDoloceno NiDoloceno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 2232-2094 515.126 15706713 15633497 URN:SI:UM:DK:YYP1ODBE http://www.imfm.si/preprinti/PDF/01124.pdf 1 https://dk.um.si/Dokument.php?lang=slv&id=73947 Fakulteta za naravoslovje in matematiko 0 0 0