关键词:  , orthogonality:cleavability, coperfect , property, generalized , metric , space

Abstract: Arhangel'skii  posed  the  problem;How  a  class  of topological  spaces  has  the  orthogo- nality  or  cleavability?The  partial  solution  on  this  problem  has  been  obtained  for  the  class  of  spaces  which   are  multiplicative  by   Arhangel'skii,Bella  and  the  others.In  this  paper  we   shall prove that some classes of generalized metric spaces which are non-multiplicative also have the orthogonality  or  cleavability.

Key words:  , orthogonality:cleavability, coperfect , property, generalized , metric , space