  We provide bar and cobar constructions as functors acting between various
categories of curved operads and curved cooperads. Cobar and bar constructions
are adjoint to each other. Given a twisting cochain between a curved augmented
cooperad C with an extra grading and a curved operad O we construct a couple of
adjoint functors between the category of curved O-modules and the category of
curved C-comodules. The important feature is that the curved operad O is not
necessarily augmented.

K-Theory and Homology