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math.DS2022
Iterative Roots of Multifunctions
B. V. Rajarama Bhat, Chaitanya Gopalakrishna
Some easily verifiable sufficient conditions for the nonexistence of iterative roots for multifunctions on arbitrary nonempty sets are presented. Typically if the graph of the mult…
math.DS2022
The non-iterates are dense in the space of continuous self-maps
B. V. Rajarama Bhat, Chaitanya Gopalakrishna
In this paper we develop a tool to identify functions which have no iterative roots of any order. Using this, we prove that when is , or , every no…