  The notion of reparametrization category is incorrectly axiomatized and it
must be adjusted. It is proved that for a general reparametrization category
$\mathcal{P}$, the tensor product of $\mathcal{P}$-spaces yields a biclosed
semimonoidal structure. It is also described some kind of objectwise braiding
for $\mathcal{G}$-spaces.
