Partially Homogeneous Partially Ordered Sets
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Abstract We construct continuum many nonisomorphic ℵ 0 -categorical posets which are 3- and not 4-homogeneous. Variants of our construction yield 2- and not 3-homogeneous posets, and yield as many non-ℵ 0 -categorical posets with the same degree of homogeneity. These examples answer questions of Droste and Macpherson.
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