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Posets :: isBounded

isBounded -- determines if a poset is bounded



The poset $P$ is bounded if it has a unique minimal element and a unique maximal element.

The $n$ chain and $n$ booleanLattice are bounded.

i1 : n = 5;
i2 : isBounded chain n

o2 = true
i3 : B = booleanLattice n;
i4 : isBounded B

o4 = true

The middle ranks of an $n$ boolean lattice are not bounded.

i5 : isBounded flagPoset(B, {1,2,3,4})

o5 = false

See also

Ways to use isBounded :

For the programmer

The object isBounded is a method function.