228
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2011
15 years 17 days ago
2011
Distributive lattices are well known to be precisely those lattices that possess cancellation: x ∨ y = x ∨ z and x ∧ y = x ∧ z imply y = z. Cancellation, in turn, occurs wh...
166
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2011
15 years 17 days ago
2011
For a finite poset P = (V, ≤), let Bs(P) consist of all triples (x, y, z) ∈ V 3 such that either x < y < z or z < y < x. Similarly, for every finite, simple, and...
183
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2011
15 years 17 days ago
2011
We prove a Hadwiger transversal type result, characterizing convex position on a family of non-crossing convex bodies in the plane. This theorem suggests a definition for the ord...