3 problems

Consequence of Conjecture. Under these hypotheses,

Generalized Kruskal conjecture. Under these hypotheses, a nontrivial zero-sum subcollection must exist. This relaxes general position to lower bounds on the dimensions of the subsy…

Let $m,n,k,\ell$ be parameters as above, and let $A(m,n,k,\ell)$ be the set of pairs $(D,E)$ of subspaces of $\mathbb C^n\otimes\mathbb C^m$ of codimensions $k$ and $\ell$ for whic…