On differential completions and compactifications of a differential   space
  Differential completions and compactifications of differential spaces are introduced and investigated. The existence of the maximal differential completion and the maximal differential compactification is proved. A sufficient condition for the existence of a complete uniform differential structure on a given differential space is given. 
Diana Dziewa-Dawidczyk and Zbigniew Pasternak-Winiarski
math.DG