3 problems

Packing/Covering Conjecture. For every family $(M_i:i\in\Theta)$ of matroids on a common edge set $E$, there is a partition

Let $(M_k\mid k\in K)$ be a family of matroids on the same ground set $E$. A covering for $(M_k.Y\mid k\in K)$ is a family of independent sets whose union covers $Y$, and a packing…

Let $(M_k\mid k\in K)$ be a family of matroids on the same ground set $E$. A packing consists of pairwise disjoint spanning sets, one for each $M_k$, and a covering consists of ind…