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| In 2003, topologists discovered a new way of viewing multi-valued functions. They began studying them as inverse limits on set-valued functions. These new inverse limits behave quite differently than do standard inverse limits. That theory has developed quite a bit since that time. Such a system still admits a shift map, which in this situation is a continuous surjective function from the space onto itself. Hence, it is possible to study the dynamics admitted by these spaces. We will discuss entropy and other dynamical properties on inverse limits with set-valued functions. |
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