Useful properties of index pairs for upper semicontinuous multivalued dynamical systems.
An extension of Markov partitions for a certain toral endomorphism.
Coproducts and the additivity of the Szymczak index
We prove that the index defined by Szymczak in [9] has an additivity property. Moreover we give an abstract theorem for extending coproducts from an initial category to the Szymczak category, which provides a setting for the proof of additivity.
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