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Simple Permutations, Pasting and Reversing.
(Universidad Sergio Arboleda, 2020)
In this work, we will study a key result in Combinatorial Dynamics: the Sharkovskii Theorem. This theorem explains how periodic points are related in a map by genealogy. Then, we will explore simple permutations, since ...
Cover monoidal categories on species and free cover monoids
(Universidad Sergio Arboleda, 2022-07)
We study a new product on the category of combinatorial species, which we call the cover Cauchy product. This product is defined as a relaxed version of the classical Cauchy product on species. We prove that the category ...