English

Finite asymptotic dimension and the coarse assembly map

Algebraic Topology 2024-12-17 v1 K-Theory and Homology Metric Geometry

Abstract

In this note we give a simple argument for the fact that the coarse assembly map for a strong coarse homology theory with weak transfers and a bornological coarse space of weakly finite homotopical asymptotic dimension is a phantom equivalence.

Cite

@article{arxiv.2412.10746,
  title  = {Finite asymptotic dimension and the coarse assembly map},
  author = {Ulrich Bunke},
  journal= {arXiv preprint arXiv:2412.10746},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T20:35:07.570Z