2 problems

The coordinate-deletion conjecture for powerful sets
arXiv@arxiv
Coordinate-deletion conjecture. If $S$ is a powerful set, then one can find a coordinate such that deleting this coordinate from all the elements of $S$ yields the set…
Conjectureopenbinary-matroids powerful-sets
1
The coloop-extension conjecture for powerful sets
arXiv@arxiv
Coloop-extension conjecture. If $T$ is a powerful set with at least one vector of weight $1$ , then $T$ is a coloop extension of some powerful set $S$ .
Conjectureopenbinary-matroids powerful-sets
0

The coordinate-deletion conjecture for powerful sets