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In this paper we investigate inverse limits on [0, 1] using a single bonding map chosen from a two-parameter family of piecewise linear unimodal bonding maps. This investigation focuses on the parameter values at the boundary between an hereditarily decomposable inverse limit and an inverse limit containing an indecomposable continuum.

Inverse limits on $[0,1]$ using piecewise linear unimodal bonding maps