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- W1804340167 abstract "It is shown that the lattices of flats of boolean representable simplicial complexes are always atomistic, but semimodular if and only if the complex is a matroid. A canonical construction is introduced for arbitrary finite atomistic lattices, providing a characterization of the lattices of flats of boolean representable simplicial complexes and a decidability condition. We remark that every finite lattice occurs as the lattice of flats of some simplicial complex." @default.
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- W1804340167 date "2015-10-19" @default.
- W1804340167 modified "2023-09-25" @default.
- W1804340167 title "On the lattice of flats of a boolean representable simplicial complex" @default.
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