Lelek-like fans: endpoint-dense continua supporting topologically mixing mapsBanič, Iztok (Avtor) Erceg, Goran (Avtor) Jelić, Ivan (Avtor) Kennedy, Judy A. (Avtor) non-smooth fansLelek-like fandynamical systemstopologically mixingMahavier dynamical systemsThe Lelek fan is the only smooth fan that has a dense set of end-points. In this paper, we study non-smooth fans with this property; i.e., we construct an uncountable family of pairwise non-homeomorphic such fans. Furthermore, we prove that each of them admits a topologically mixing non-invertible mapping as well as a topologically mixing homeomorphism.Universidad Politécnica de Valencia, Instituto Universitario de Matemática Pura y Aplicada20262026-03-18 16:24:07Znanstveno delo97551UDK: 515.1COBISS_ID: 272173315DOI: 10.4995/agt.24275ISSN pri članku: 1989-4147sl