Bounded rigidity of manifolds and asymptotic dimension growth Academic Article uri icon

abstract

  • We provide a bounded rigidity result for uniformly contractible manifolds with bounded geometry and sufficiently slow asymptotic dimension growth. This notion of asymptotic growth is a generalization of Gromov's definition of asymptotic dimension. In particular for these manifolds we prove that the bounded assembly map is an isomorphism. Our result is inspired by the coarse Baum-Connes results of Yu and the development of squeezing structures. © 2008, ISOPP. All rights reserved.

author list (cited authors)

  • Chang, S. S., Ferry, S., & Yu, G.

citation count

  • 9

complete list of authors

  • Chang, Stanley S||Ferry, Steven||Yu, Guoliang

publication date

  • February 2008