论文标题
Skorokhod空间的完成
On the completion of Skorokhod space
论文作者
论文摘要
我们考虑经典的Skorokhod空间$ d [0,1] $和配备标准Skorokhod距离$ρ$的连续功能$ C [0,1] $。 众所周知，$（d [0,1]，ρ）$或$（c [0,1]，ρ）$都不完成。我们提供了相应完成的明确描述。这些完成的元素可以像$ [0,1] $上的往常一样，除非它们的值“立即”变化，否则可以将这些元素视为$ [0,1] $。
We consider the classical Skorokhod space $D[0,1]$ and the space of continuous functions $C[0,1]$ equipped with the standard Skorokhod distance $ρ$. It is well known that neither $(D[0,1],ρ)$ nor $(C[0,1],ρ)$ 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".
