Localizations of categories of dynamical systems

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See also: Jade Master: Dynamical Systems With Category Theory? Yes!, This tweet by me. Discrete dynamical systems A discrete dynamical system \((S,T)\) consists of a set \(S\) and a time-step function \(T: S \to S\). It’s clear that this is exactly the same thing as a \(\mathbb{N}\)-set, i.e a set with an action of the monoid \((\mathbb{N},+,0)\)1. A “morphism of discrete dynamical…

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