Abstract
For a differential equation with a state-dependent delay we show that the associated solution manifold
X
f
of codimension 1 in the space
C
1
(
[
−
r
,
0
]
,
R
)
is an almost graph over a hyperplane, which implies that
X
f
is diffeomorphic to the hyperplane. For the case considered previous results only provide a covering by 2 almost graphs.