Fibred Cofinitely-coarse Embedding Of Box Families And Proper Isometric Affine Actions On Direct Sum Spaces

In this paper,we focused on the problem of coarse embedding in large scale geometry.We show that a countable,residually amenable group G admits a proper isometric affine action on (?) is a column of real numbers converging to +?),then any box family of G admits a fibred confinitely-coarse embedding into (?).