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The course organized by the International Center of Applied and Pure Mathematics focuses on semi-free resolution and application. The goal is to prove the Johns theorem, which relates to hostile chromology. The theorem states that for a topological space x, the hostile chromology of the normalized singular cushion nx is isomorphic to the island motor of nx. Additionally, it is known that the free loop space and x are isomorphic as n modules, with the island motor of nx being n times n of x times x. The aim is to provide a new proof of this theorem using semi-free resolution material.