On metrically complete Bruhat-Tits buildings
  Metrical completeness for Bruhat-Tits buildings is a natural and useful condition. In this paper we determine which Bruhat-Tits buildings are metrically complete up to certain cases involving infinite-dimensionality and residue characteristic two. 
Benjamin Martin, Jeroen Schillewaert, G\"unter F. Steinke, Koen   Struyve
math.MG