This set of lattices is the closure of the set {poset with one element} under two allowed operations: adding a top element or taking a Cartesian product. This implies that the Möbius numbers are in $\{-1,0,1\}$. Any similar property whose behavior under the two operations can be easily followed can also be described on the familly.
F. C.
- 3.6k
- 21
- 30