Boolean lattices: Ramsey properties and embeddings

Maria Axenovich, Stefan Walzer

A subposet $Q^{\prime }$ of a poset $Q$ is a copy of a poset $P$ if there is a bijection $f$ between elements of $P$ and $Q^{\prime }$ such that $x\le y$ in $P$ iff $f(x)\le f(y)$ in $Q^{\prime }$. For pos…