English

Whitehead aspherical conjecture via ribbon sphere-link

Geometric Topology 2024-04-10 v2 Algebraic Topology

Abstract

Whitehead aspherical conjecture says that every connected subcomplex of every aspherical 2-complex is aspherical. By an argument on ribbon sphere-links, it is confirmed that the conjecture is true for every contractible finite 2-complex. In this paper, by generalizing this argument, this conjecture is confirmed to be true for every aspherical 2-complex.

Keywords

Cite

@article{arxiv.2303.04368,
  title  = {Whitehead aspherical conjecture via ribbon sphere-link},
  author = {Akio Kawauchi},
  journal= {arXiv preprint arXiv:2303.04368},
  year   = {2024}
}
R2 v1 2026-06-28T09:06:50.720Z