20.500.12556/DKUM-87388 The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arc We consider a family of inverse limits of inverse sequences of closed unit intervals with a single upper semi-continuous set-valued bonding function whose graph is an arc; the graph is the union of two line segments in [0,1]2, both of which contain the origin (0, 0) and have positive slope. One of the segments extends to the top-boundary and the other to the right side boundary of [0,1] x [0,1]. We show that there is a large subfamily F of these bonding functions such that for each fEF, the inverse limit of the inverse sequence of closed unit intervals using f as a single bonding function is homeomorphic to the Lelek fan. fan cantor fan Lelek fan closed relation Mahavier product inverse limit set-valued function pahljača Lelekova pahljača zaprta relacija Mahavierjev produkt inverzna limita true true true Birkhäuser Angleški jezik Slovenski jezik Članek v reviji 2024-03-14 12:22:46 2024-03-14 12:35:11 2024-06-07 12:23:32 0000-00-00 00:00:00 2023 0 0 Str. 1-24 Št. 3, št. članka 159 Letn. 20 Jun. 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2022-06-07 2023-01-12 2023-03-16 519.17 148424195 10.1007/s00009-023-02323-3 1660-5446 Banic-2023-The_Lelek_Fan_as_the_Inverse_Limit.pdf Banic-2023-The_Lelek_Fan_as_the_Inverse_Limit.pdf 1 B56E9D5E4A927E97B9917391F60B054F 7896b8c879fcc31040bff607e16deee6fa9992c7b635eab855a4d2b459d8ee00 d77452fc-e1f6-11ee-8231-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=176880 https://doi.org/10.1007/s00009-023-02323-3 0 dcb2c43c-e1f6-11ee-8231-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=176881 Fakulteta za naravoslovje in matematiko 0 0 0