On the completion of Skorokhod space

We consider the classical Skorokhod space D[0,1] and the space of continuous functions C[0,1] equipped with the standard Skorokhod distance ?. It is well known that neither (D[0,1],?) nor (C[0,1],?) is complete. We provide an explicit description of the corresponding completions. The elements of these completions can be regarded as usual functions on [0,1] except for a countable number of instants where their values vary “instantly".