The Lelek fan as the inverse limit of intervals with a single set-valued bonding function whose graph is an arcBanič, Iztok (Avtor) Erceg, Goran (Avtor) Kennedy, Judy A. (Avtor) fancantor fanLelek fanclosed relationMahavier productinverse limitset-valued functionWe 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.Birkhäuser20232024-03-14 12:22:46Članek v reviji87388UDK: 519.17COBISS_ID: 148424195DOI: 10.1007/s00009-023-02323-3ISSN pri članku: 1660-5446sl