The convexity lattice of a poset |
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| Authors: | Garrett Birkhoff M. K. Bennett |
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| Affiliation: | (1) Department of Mathematics, Harvard University, 02138 Cambridge, MA, USA;(2) Department of Mathematics and Statistics, University of Massachusetts, 01003 Amherst, MA, USA |
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| Abstract: | The authors investigate the lattice Co(P) of convex subsets of a general partially ordered set P. In particular, they determine the conditions under which Co(P) and Co(Q) are isomorphic; and give necessary and sufficient conditions on a lattice L so that L is isomorphic to Co(P) for some P. |
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| Keywords: | 06A10 (primary) 06A15 06A23 (secondary) |
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