ABSTRACT
Partial spreads are generalizations of spreads. They are essentially collections τ of subspaces of a vector space V such that any two distinct members of τ directsum to V . Since subsets of spreads are the motivating examples of partial spreads, it is not surprising that partial spreads are fundamental to the study of spreads. That is, any subset of a spread is a partial spread but there may be partial spreads that cannot be contained in (or extended to) a spread.
