Coarse Separation of Coarse PD(n) spaces

Key Points

• Subspaces that coarsely separate coarse PD(n) spaces must satisfy specific dimensionality criteria.
• The required asymptotic dimension is at least n-1, aligning with the structure of coarse PD(n) spaces.
• This finding enhances the understanding of the relationships between subspaces and their ambient spaces.
• The concept of coarse separation offers valuable insights into the geometric properties of these metric spaces.