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Variations on the concept of topological transitivity

Tom 235 / 2016

Ethan Akin, Joseph Auslander, Anima Nagar Studia Mathematica 235 (2016), 225-249 MSC: Primary 37B05; Secondary 37B20, 54H20. DOI: 10.4064/sm8553-7-2016 Opublikowany online: 24 November 2016

Streszczenie

We describe various strengthenings of the concept of topological transitivity. Especially when one departs from the family of invertible systems, a number of interesting properties arise. We present the architecture of implications among ten reasonable notions of transitivity.

Autorzy

  • Ethan AkinMathematics Department
    The City College
    137 Street and Convent Avenue
    New York City, NY 10031, U.S.A.
    e-mail
  • Joseph AuslanderMathematics Department
    University of Maryland
    College Park, MD 20742, U.S.A.
    e-mail
  • Anima NagarDepartment of Mathematics
    Indian Institute of Technology Delhi
    Hauz Khas, New Delhi 110016, India
    e-mail

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