20.500.12556/DKUM-91913 Characterizing inverse sequences for which their inverse limits are homeomorphic In [11], Mioduszewski characterized inverse sequences of polyhedra for which their inverse limits are homeomorphic. In this article, we obtain a more general characterization: we characterize inverse sequences of arbitrary compact metric spaces and continuous single-valued functions for which their inverse limits are homeomorphic. In our approach, set-valued functions are used instead of continuous single-valued functions in almost commutative diagrams. Using this characterization we give an alternative proof that the Brouwer-Janiszewski-Knaster continuum and the pseudo-arc are circle-like continua. Članek obravnava in opisuje centralizirajoče sledi na triangularnih algebrah inverse limit compact metric space set-valued function true false true Springer Nature (Akadémiai Kiadó) Angleški jezik Slovenski jezik © 2024 The Author(s) Znanstveno delo 2025-02-27 15:35:31 2025-02-27 15:35:31 2025-02-28 03:11:41 0000-00-00 00:00:00 2024 0 0 str. 42-61 iss.1 Vol. 172 2024 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-02-14 2023-10-03 2024-02-20 515.126 188657411 10.1007/s10474-024-01394-2 0236-5294 s10474-024-01394-2.pdf s10474-024-01394-2.pdf 1 6AED1C1D01FC6B07D15452166A160AA3 0d387bf731d74992dec926484a4d7881b0228eefeba493b01a9eceb094b74477 f6d5c147-f518-11ef-8ea5-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=188883 https://dx.doi.org/10.1007/s10474-024-01394-2 0 04dd3503-f519-11ef-8ea5-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=188884 Fakulteta za kemijo in kemijsko tehnologijo Fakulteta za gradbeništvo, prometno inženirstvo in arhitekturo 0 0 0