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The face lattice of ann-dimensional cube

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Abstract

We give necessary and sufficient conditions on a latticeL which guarantee its being the lattice of faces of then-dimensional cube.

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References

  1. Balbes, R. andPh. Dwinger.Distributive Lattices. University of Missouri Press; Columbia, Missouri. 1974.

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  2. Bennett, Mary Katherine.Lattices of Convex Sets. Trans. A.M.S. v. 234, #1, 1977. pp. 279–288.

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  3. Metropolis, N. andG.-C. Rota.Combinatorial Structure of the Faces of the n-cube. Siam Journal on App. Math. v. 35, #4, 1978. pp. 689–695.

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Authors and Affiliations

  1. University of Massachusetts, Amherst, Massachusetts, USA

    Mary Katherine Bennett

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  1. Mary Katherine Bennett
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Bennett, M.K. The face lattice of ann-dimensional cube. Algebra Universalis 14, 82–86 (1982). https://doi.org/10.1007/BF02483910

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  • DOI: https://doi.org/10.1007/BF02483910

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