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For any set A, let Part(A) be the set of all partitions of A. For any two partitions G, H Part(A),
we say that G is finer than H (written G A H ) if every element of H can be expressed as the
union of elements of G.
Questions:
1.Give a topological sorting of Part({1,2, 3}).
2.List all the minimal elements of Part({1,2, 3})
3.List all the maximal elements of Part({1,2, 3}).
Solution
post ques

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For any set A, let Part(A) be the set of all partitions of A. For an.pdf

  • 1. For any set A, let Part(A) be the set of all partitions of A. For any two partitions G, H Part(A), we say that G is finer than H (written G A H ) if every element of H can be expressed as the union of elements of G. Questions: 1.Give a topological sorting of Part({1,2, 3}). 2.List all the minimal elements of Part({1,2, 3}) 3.List all the maximal elements of Part({1,2, 3}). Solution post ques