B 38. Recall the partially ordered set II, of all partitions of {1, 2, ...,n}, where the partial order is that of refine
Posted: Mon May 02, 2022 6:44 am
- B 38 Recall The Partially Ordered Set Ii Of All Partitions Of 1 2 N Where The Partial Order Is That Of Refine 1 (569.21 KiB) Viewed 39 times
47. Let II, denote the set of all partitions of the set {1,2,...,n} into nonempty sets. Given two partitions 7 and o in IIn, define a <o, provided that each part of a is contained in a part of o. Thus, the partition a can be obtained by partitioning the parts of o. This relation is usually expressed by saying that n is a refinement of o.