👉 Trimnesses are a type of mathematical concept in topology and algebra, particularly in the context of manifolds. They are used to measure how much a set of points is "trimmed" from other sets of points. In the setting of Riemannian geometry, a point x in a manifold M can be described as being trimmed if for every point y in M which is at a distance r from x, there exists a neighborhood U of x such that the set of all points y in
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