On baer type criterion for C-dense, C-closed and quasi injectivity

For the subclasses M1 and M2 of monomorphisms in a concrete category C, if M2 M1, then M1-injectivity implies M2-injectivity. The Baer type criterion is about the converse of this fact. In this paper, we apply injectivity to the classes of C-dense, C-closed monomorphisms. The concept of quasi injectivity is also introduced here to investigte the Baer type criterion for these notions.