Mnëv's universality theorem is a result in the field of mathematical logic and combinatorial geometry, specifically relating to the arrangement and properties of arrangements of points in the projective plane. It asserts that certain geometric configurations can be used to describe and encode a broad class of mathematical structures. The theorem indicates that the space of geometric configurations — particularly those involving points and lines in a projective space — is rich enough to capture the complexity of various combinatorial and algebraic structures.
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