Lelek-like fans: endpoint-dense continua supporting topologically mixing maps

• Banić, Iztok ^[1] ; Erceg, Goran ^[2] ; Jelić, Ivan ^[2] ; Kennedy, Judy ^[3]
  1. [1] University of Maribor

     University of Maribor

     Eslovenia

     
  2. [2] University of Split

     University of Split

     Croacia

     
  3. [3] Lamar University

     Lamar University

     Estados Unidos

     

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 27, Nº. 1, 2026
• Idioma: inglés
• DOI: 10.4995/agt.24275
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• Resumen

  • The 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.

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