Panel collapse and its applications
Panel collapse and its applications
We describe a procedure called panel collapse for replacing a CAT(0) cube complex \Psi by a "lower complexity" CAT(0) cube complex \Psi_\bullet whenever \Psi contains a codimension-2 hyperplane that is extremal in one of the codimension-1 hyperplanes containing it. Although \Psi_\bullet is not in general a subcomplex of \Psi , …