Chain Decomposition Theorems for Ordered Sets and Other Musings
نویسندگان
چکیده
A brief introduction to the theory of ordered sets and lattice theory is given. To illustrate proof techniques in the theory of ordered sets, a generalization of a conjecture of Daykin and Daykin, concerning the structure of posets that can be partitioned into chains in a “strong” way, is proved. The result is motivated by a conjecture of Graham’s concerning probability correlation inequalities for linear extensions of finite posets.
منابع مشابه
Chain decompositon theorems for ordered sets and other musings
A brief introduction to the theory of ordered sets and lattice theory is given. To illustrate proof techniques in the theory of ordered sets, a generalization of a conjecture of Daykin and Daykin, concerning the structure of posets that can be partitioned into chains in a \strong" way, is proved. The result is motivated by a conjecture of Graham's concerning probability correlation inequalities...
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