English

Face numbers of down-sets

Combinatorics 2015-03-13 v2

Abstract

We compare various viewpoints on down-sets (simplicial complexes), illustrating how the combinatorial inclusion-exclusion principle may serve as an alternative to more advanced methods of studying their face numbers.

Keywords

Cite

@article{arxiv.1311.5039,
  title  = {Face numbers of down-sets},
  author = {Michal Adamaszek},
  journal= {arXiv preprint arXiv:1311.5039},
  year   = {2015}
}

Comments

3 pages, accepted to Amer. Math. Monthly, v2: typos fixed

R2 v1 2026-06-22T02:11:11.628Z