Abstract

The "forcing" relation on patterns of invariant subsets of maps on the interval has proved to be a useful tool for studying the dynamics of interval maps. However, attempts to generalize this relation to more general spaces (such as trees) have met with difficulties. A new relation is introduced, which is well-defined for all continuous maps on any dendrite, is closely related to the forcing relation on the unit interval, and has at least some of the nice properties on trees which one would expect from a generalized forcing relation.

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