Forbidding rank-preserving copies of a poset

Dániel Gerbner, Abhishek Methuku, Dániel T. Nagy +2

The maximum size, $La(n,P)$, of a family of subsets of $[n]=\{1,2,...,n\}$ without containing a copy of $P$ as a subposet, has been intensively studied. Let $P$ be a graded poset.…