Intersection properties of stable subgroups and bounded cohomology
  We show that a finite collection of stable subgroups of a finitely generated group has finite height, finite width and bounded packing. We then use knowledge about intersections of conjugates to characterize finite families of quasimorphisms on hyperbolically embedded subgroups that can be to simultaneously extended to the ambient group. 
Yago Antol\'in, Mahan Mj, Alessandro Sisto, and Samuel J. Taylor
math.GT math.GR