M
Mary Katherine Bennett
Researcher at University of Massachusetts Amherst
Publications - 7
Citations - 25
Mary Katherine Bennett is an academic researcher from University of Massachusetts Amherst. The author has contributed to research in topics: Convexity & Map of lattices. The author has an hindex of 3, co-authored 7 publications receiving 24 citations.
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Rectangular products of lattices
TL;DR: In this paper, necessary and sufficient conditions are given for a lattice to be a rectangular product, and properties which are preserved (or not preserved) by rectangular products are discussed.
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A lattice characterization of convexity
TL;DR: In this paper, the lattice of convex subsets of a real vector space is characterized, and conditions for modularity in such a lattice are obtained for convex subspaces.
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The face lattice of ann-dimensional cube
TL;DR: In this paper, necessary and sufficient conditions on a latticeL which guarantee its being the lattice of faces of then-dimensional cube are given. But they do not consider the case where the face of the cube is a convex polygon.