  We consider a $q$-analogue of abstract simplicial complexes, called
$q$-complexes, and discuss the notion of shellability for such complexes. It is
shown that $q$-complexes formed by independent subspaces of a $q$-matroid are
shellable. Further, we explicitly determine the homology of $q$-complexes
corresponding to uniform $q$-matroids. We also outline some partial results
concerning the determination of homology of arbitrary shellable $q$-complexes..
