In this paper two results concerning the construction of approximate fibrations are established. The first shows that there are approximate fibrations
p
:
M
→
S
2
p:M \to S^2
which are homotopic to bundle maps but which cannot be approximated by bundle maps. Here
M
M
can be a compact
Q
Q
-manifold or some topological
n
n
-manifold,
n
⩾
5
n \geqslant 5
. The second shows how to construct approximate fibrations
p
:
M
→
B
p:M \to B
whose fibers do not have finite homotopy type, for any
B
B
of Euler characteristic zero. Here
M
M
can be a compact
Q
Q
-manifold and
B
B
only has to be an ANR, or
M
M
can be an
n
n
-manifold,
n
⩾
6
n \geqslant 6
, and
B
B
must then also be a topological manifold.