Topology Proceedings 30 No. 1 (2006), pp. 95-114

On Ingram's Conjecture

Louis Block, Slagjana Jakimovik and James Keesling

In this paper, we consider inverse limit spaces (I, f_s) where the bonding map f_s is a tent map with s ∈ (√2, 2]. We make a conjecture concerning homeomorphisms of (I, f_s). We show that if our conjecture is true, then Ingram's conjecture holds.

Keywords: composant, continuum, Ingram's conjecture, inverse limit space, pseudo-isotopy, tent family

Mathematics Subject Classification: 54F15 (37E05 37B45)

Document formats: PDF file 245.3 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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