The dimension theorem in axiomatic geome
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Claude-Alain Faure; Alfred FrΓΆlicher
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Article
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1996
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Springer
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English
β 659 KB
Given a matroid and an integer n \_> 0, eleven conditions are shown to be equivalent to the validity of the rank formula r(E V F) + r(E A F) = r(E) + r(F) for subspaces satisfying r(E A F) > n. For n = 0 one finds the projective geometries. The case n = 1 also includes the affine and the hyperbolic