| Before 1920 he had shown that the homology of a simplicial complex is a topological invariant. |
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| The Billera-Lee proof gives a geometric construction of one simplicial polytope for each face vector. |
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| Note that it is known that the boundary complex of a simplicial polytope has the WLP over the rationals. |
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| Our main result expresses certain algebraic invariants of B in terms of the cohomology of simplicial complexes associated with its R-poset. |
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| A Fast Rubber-Sheeting Transformation Using Simplicial Coordinates. |
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