The simplicial boundary of a CAT(0) cube complex
The simplicial boundary of a CAT(0) cube complex
For a CAT(0) cube complex X, we define a simplicial flag complex @ 4 X, called the simplicial boundary, which is a natural setting for studying nonhyperbolic behavior of X.We compare @ 4 X to the Roller, visual and Tits boundaries of X, give conditions under which the natural CAT(1) …