  We show that a $\mathbb{P}$-object and simple configurations of
$\mathbb{P}$-objects have a formal derived endomorphism algebra. Hence the
triangulated category (classically) generated by such objects is independent of
the ambient triangulated category. We also observe that the category generated
by the structure sheaf of a smooth projective variety over the complex numbers
only depends on its graded cohomology algebra.
