St. Kliment Ohridski Faculty of Pedagogy

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Subject: search.filters.subject.composant, continuum, Ingram’s conjecture, inverse limit space, pseudo-isotopy, tent family

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    On Ingram’s Conjecture
    (Department of Mathematics & Statistics Auburn University, Alabama 36849, USA, 2006)
    Block, Louis
    ;
    Jakimovik, Slagjana
    ;
    Keesling, James
    In this paper, we consider inverse limit spaces (I, fs) where the bonding map fs is a tent map with s ∈ (√2, 2]. We make a conjecture concerning homeomorphisms of (I, fs). We show that if our conjecture is true, then Ingram’s conjecture holds.