Alexander's conjecture for infinite simplicial complexes

Martina Iannella; Vadim Weinstein

Alexander's conjecture for infinite simplicial complexes

几何拓扑 2026-07-01 v1 组合数学

作者: Martina Iannella , Vadim Weinstein

摘要

Alexander's conjecture states that for every two finite triangulations of the same topological space, if they have a common subdivision, then they have a common stellar subdivision. We generalize the recent result of Adiprasito and Pak, who resolved Alexander's conjecture for finite simplicial complexes, to infinite simplicial complexes.

引用

@article{arxiv.2607.01349,
  title  = {Alexander's conjecture for infinite simplicial complexes},
  author = {Martina Iannella and Vadim Weinstein},
  journal= {arXiv preprint arXiv:2607.01349},
  year   = {2026}
}

备注

10 pages, 5 figures