For example , there are injective maps which are not immersions and immersions which are not injections .
The map f itself need not be injective , surjective , or bijective for these conditions to hold , only the behavior of the derivative is important .
There are injective maps which are not immersions and immersions which are not injections .
The map f itself need not be injective , surjective , or bijective for these conditions to hold , only the behavior of the derivative is important .