English

Sequentially $(S_r)$ is a topological property

Combinatorics 2020-01-31 v1 Commutative Algebra

Abstract

We show that the sequentially (Sr)(S_r) condition for simplicial complexes is a topological property. Along the way, we present an elementary proof for the fact that the Serre's condition (Sr)(S_r) is a topological property.

Cite

@article{arxiv.2001.11397,
  title  = {Sequentially $(S_r)$ is a topological property},
  author = {Afshin Goodarzi},
  journal= {arXiv preprint arXiv:2001.11397},
  year   = {2020}
}
R2 v1 2026-06-23T13:25:20.149Z