English

On the homeomorphism problem for 4-manifolds

Geometric Topology 2021-06-14 v1

Abstract

We show that there is no algorithm to decide whether or not a given 4-manifold is homeomorphic to the connected sum of 12 copies of S^2 \times S^2.

Keywords

Cite

@article{arxiv.2106.06006,
  title  = {On the homeomorphism problem for 4-manifolds},
  author = {Cameron McA Gordon},
  journal= {arXiv preprint arXiv:2106.06006},
  year   = {2021}
}

Comments

6 pages

R2 v1 2026-06-24T03:04:31.802Z