English

The Whitehead exact sequence and the classification problem of homotopy types

Algebraic Topology 2018-04-24 v4

Abstract

This paper defines an invariant associated to Whitehead's certain exact sequence of a simply connected CW-complex which is much more elementary - and less powerful - than the boundary invariant of Baues. Nevertheless, in good cases, it classifies the homotopy types of CW-complexes.

Keywords

Cite

@article{arxiv.1802.09867,
  title  = {The Whitehead exact sequence and the classification problem of homotopy types},
  author = {Mahmoud Benkhalifa},
  journal= {arXiv preprint arXiv:1802.09867},
  year   = {2018}
}
R2 v1 2026-06-23T00:35:03.334Z