English

Realizing algebraic 2-complexes by cell complexes

Algebraic Topology 2023-10-13 v1

Abstract

The realization theorem asserts that for a finitely presented group G, the D(2) property and the realization property are equivalent as long as G satisfies a certain finiteness condition. We show that the two properties are in fact equivalent for all finitely presented groups.

Keywords

Cite

@article{arxiv.2310.07722,
  title  = {Realizing algebraic 2-complexes by cell complexes},
  author = {Wajid Mannan},
  journal= {arXiv preprint arXiv:2310.07722},
  year   = {2023}
}

Comments

Paper published in peer reviewed journal in 2009

R2 v1 2026-06-28T12:47:42.661Z