Bounded rigidity of manifolds and asymptotic dimension growth
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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.
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Chang, S. S., Ferry, S., & Yu, G.
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Chang, Stanley S||Ferry, Steven||Yu, Guoliang
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