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The Core Ingram Conjecture for non-recurrent critical points

Volume 241 / 2018

Ana Anušić, Henk Bruin, Jernej Činč Fundamenta Mathematicae 241 (2018), 209-235 MSC: 37B45, 37E05, 54H20. DOI: 10.4064/fm199-7-2017 Published online: 12 January 2018

Abstract

We study inverse limit spaces of tent maps, and the Ingram Conjecture, which states that the inverse limit spaces of tent maps with different slopes are non-homeomorphic. When the tent map is restricted to its core, so there is no ray compactifying on the inverse limit space, this result is referred to as the Core Ingram Conjecture. We prove the Core Ingram Conjecture when the critical point is non-recurrent and not preperiodic.

Authors

  • Ana AnušićFaculty of Electrical Engineering and Computing
    University of Zagreb
    Unska 3
    10000 Zagreb, Croatia
    e-mail
  • Henk BruinFaculty of Mathematics
    University of Vienna
    Oskar-Morgenstern-Platz 1
    A-1090 Wien, Austria
    e-mail
  • Jernej ČinčFaculty of Mathematics
    University of Vienna
    Oskar-Morgenstern-Platz 1
    A-1090 Wien, Austria
    e-mail

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