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5 cards from this section. Quick, good the night before a test.
Define what a poset is.
Remember the acronym RAT.
What does it mean for one element to cover another in a poset?
Think diagrammatically about their relationship.
What three properties must a relation possess to be a partial order?
Remember the RAT acronym to help.
True or False? A minimal element can also be a maximal element in a poset.
Visualize it in a Hasse diagram.
Construct a Hasse diagram for the set of integers {1, 2, 3, 4, 5} under the relation defined by divisibility.
Consider divisor relationships to create this diagram.
If a poset has maximal elements 6 and 7 with no element covering 5, what can you deduce about the relationship between these elements?
Analyze cover relationships to conclude independencies.
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