  We review the current state of the homogeneous Banach space problem. We then
formulate several questions which arise naturally from this problem, some of
which seem to be fundamental but new. We give many examples defining the bounds
on the problem. We end with a simple construction showing that every infinite
dimensional Banach space contains a subspace on which weak properties have
become stable (under passing to further subspaces). Implications of this
construction are considered.
