The specification property on a set-valued map and its inverse limit

Brian Raines; Tim Tennant

The specification property on a set-valued map and its inverse limit

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arxiv 1509.08415 v1 pith:PY3BLMKM submitted 2015-09-28 math.DS

Brian Raines , Tim Tennant This is my paper · ORCID

classification math.DS

keywords set-valuedinverseassociatedfunctionslimitpropertiespropertyresults

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In this paper we consider dynamical properties of set-valued mappings and their implications on the associated inverse limit space. Specifically, we define the specification property and topological entropy for set-valued functions and prove some elementary results of these properties. We end with a few results regarding invariant measures for set-valued functions and their associated inverse limits.

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