A vector space partition P in Fqv is a set of
subspaces such that every 1-dimensional subspace of Fqv is
contained in exactly one element of P. Replacing "every point" by
"every t-dimensional subspace", we generalize this notion to vector space
t-partitions and study their properties. There is a close connection to
subspace codes and some problems are even interesting and unsolved for the set
case q=1.Comment: 12 pages, typos correcte