Indecomposable inverse limits on $[0,1]$ with interval-valued functions
Keywords:
indecomposable, inverse limit, two-sided triod, full projection propertyAbstract
In the setting of one-dimensional inverse limits on $[0,1]$ with interval-valued bonding functions, we establish results for determining indecomposability of the inverse limit space. We characterize the full projection property for such inverse sequences. We provide conditions on the bonding functions that are sufficient for the inverse sequence to have the full projection property. We show that the full projection property is a necessary condition for indecomposability of the inverse limit. Solutions to four problems of W.T. Ingram are obtained.
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