English

On Levin's generalization of the plus construction

Algebraic Topology 2014-01-14 v1

Abstract

We present a proof of the following theorem of Levin: For every connected CW complex KK there is a simply connected CW complex K+K^+ obtained from KK by attaching cells of dimension 2 and 3 such that the inclusion KK+K\to K^+ induces isomorphisms of homology groups in dimension >1>1.

Cite

@article{arxiv.1401.2554,
  title  = {On Levin's generalization of the plus construction},
  author = {Alexandr Dranishnikov},
  journal= {arXiv preprint arXiv:1401.2554},
  year   = {2014}
}
R2 v1 2026-06-22T02:43:23.448Z