Consider the poset consisting of all subsets of the n-element set f1; 2; : : : ; ng
Chapter 55, Problem 55.5(choose chapter or problem)
Consider the poset consisting of all subsets of the n-element set f1; 2; : : : ; ng ordered by containment. (Such a poset is illustrated in Example 54.4 in the case n D 3.) a. This poset has a maximum and a minimum element. What are they? b. If we delete the maximum and minimum elements of this posetthe elements you found in part (a)the resulting smaller poset does not have a maximum nor a minimum. But it does have several maximal and minimal elements. What are they?
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