Balogh József: Even smaller universal posets

Bastide, Groenland and Nenadov showed that there is a poset $P$ of size $ 2^{\left(1+o(1)\right)2n/3}$, which is universal  for the family of $n$-element posets.
We improve upon their result, by providing such universal poset of size $2^{(1+o(1))n/2}$.

This result is a step towards the conjectured minimum size $2^{(1+o(1))n/4}$.
It is joint work with Ramon I. Garcia and Marcelo Sales.