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| | PlanetMath: geometric lattice |
 | | each compact element is a join of atoms. |
 | | By the definition of compactness, the last condition is equivalent to “each compact element is a finite join of atoms”. |
 | | Cross-references: theory, matroid, covers, atomistic, least upper bound, finite, compact, complete lattice, subset, complete, algebraic, lattice interval, generate, vector space, subspaces, projective geometry, bottom, empty set, incidence geometry, power set, equivalent, compactness, atoms, join, compact element, lattice |
| planetmath.org /encyclopedia/GeometricLattice.html (302 words) |
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