  The Generalized Smale Conjecture asserts that if M is a closed 3-manifold
with constant positive curvature, then the inclusion of the group of isometries
into the group of diffeomorphisms is a homotopy equivalence. For the 3-sphere,
this was the classical Smale Conjecture proved by A. Hatcher. N. Ivanov proved
the Generalized Smale Conjecture for the M which contain a 1-sided Klein bottle
and such that no Seifert fibering is nonsingular on the complement of any
vertical Klein bottle. We prove it in all remaining cases containing a
one-sided Klein bottle, except for the lens space L(4,1).
