Journal of the London Mathematical Society · 1979 · 39 citations · 3 references
Natural SciencesMathematicsAlgebraGeometrySet TheoryCombinatorial Set TheoryMatroid TheoryCombinatorial LatticesMatroid Rank Function
The lattice of flats of a matroid or combinatorial geometry can be regarded as a sublattice (with rank function) of the lattice of subsets of a set, having the property that, given an element of rank r of the lattice and a point outside it, a unique element of rank r+1 covers both. This paper develops a theory of permutation geometries, which are
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