Forward declare a standard container?

Declaring vector in the std namespace is undefined behavior. So, your code might work, but it also might not, and the compiler is under no obligation to tell you when your attempt won't work. That's a gamble, and I don't know that avoiding the inclusion of a standard C++ header is worth that.

See the following comp.std.c++.moderated discussion:

forward declaring std::vector. Works, but is it legal and standard compliant?

I don't think so because the compiler would have no way of knowing how much space to allocate for the container_ object. At best you could do:

std::vector<int> *container_;

and new it in the constructor, since the compiler knows the size of a pointer.