English

Mapping class groups have finite asymptotic dimension

Group Theory 2008-01-22 v2 Geometric Topology

Abstract

By recognizing them as fundamental groups of developable complexes of groups we prove that mapping class groups of compact orientable surfaces have finite asymptotic dimension.

Keywords

Cite

@article{arxiv.0801.1832,
  title  = {Mapping class groups have finite asymptotic dimension},
  author = {Gregory C. Bell and Alexander Dranishnikov},
  journal= {arXiv preprint arXiv:0801.1832},
  year   = {2008}
}

Comments

Withdrawn due to a critical error in Theorem 3 of [5] on which the main result relied

R2 v1 2026-06-21T10:02:06.696Z