Adding machines, endpoints, and inverse limit spaces

Tom 209 / 2010

Lori Alvin, Karen Brucks Fundamenta Mathematicae 209 (2010), 81-93 MSC: Primary 54H20, 37B45; Secondary 37E05. DOI: 10.4064/fm209-1-6

Streszczenie

Let $f$ be a unimodal map in the logistic or symmetric tent family whose restriction to the omega limit set of the turning point is topologically conjugate to an adding machine. A combinatoric characterization is provided for endpoints of the inverse limit space $(I,f)$, where $I$ denotes the core of the map.

Autorzy

  • Lori AlvinDepartment of Mathematical Sciences
    University of Wisconsin at Milwaukee
    Milwaukee, WI 53201-0413, U.S.A.
    e-mail
  • Karen BrucksDepartment of Mathematical Sciences
    University of Wisconsin at Milwaukee
    Milwaukee, WI 53201-0413, U.S.A.
    e-mail

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