This paper is about the construction of compactification for the parameter space of convex projective structures on a fixed manifold. The parameter,space is a semi-algebraic set, and the compactification is constructed by applying the Maslov dequantization to this set, constructing the so-called logarithmic limit set. The interpretation of boundary points is given by the "dequantization", in a suitable sense, of actions of the fundamental group of the manifold, on projective spaces.
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