def _repr_object_names(self):
r"""
Return the name of the objects of this category.
.. SEEALSO:: :meth:`Category._repr_object_names`
EXAMPLES::
sage: M = Manifold(2, 'M')
sage: from sage.categories.vector_bundles import VectorBundles
sage: VectorBundles(M, RR)._repr_object_names()
'vector bundles over Real Field with 53 bits of precision with base
space 2-dimensional differentiable manifold M'
"""
base_space = self._base_space
return Category_over_base_ring._repr_object_names(self) + \
" with base space %s"%base_space
