On asymptotic extension dimension
  The aim of this paper is to introduce an asymptotic counterpart of the extension dimension defined by Dranishnikov. The main result establishes a relation between the asymptotic extensional dimension of a proper metric space and extension dimension of its Higson corona. 
Du\v{s}an Repov\v{s} and Mykhailo Zarichnyi
math.GT math.GN math.MG