English

Decomposition Complexes

Combinatorics 2013-01-18 v1

Abstract

We introduce decomposition complexes of posets, which generalize order complexes. The main advantage of our construction is that decomposition complexes are closed under taking products. Other special instances of this theory include nested set complexes as well as Bergman complexes.

Keywords

Cite

@article{arxiv.1301.4017,
  title  = {Decomposition Complexes},
  author = {Martin Dlugosch},
  journal= {arXiv preprint arXiv:1301.4017},
  year   = {2013}
}

Comments

12 pages, 5 figures

R2 v1 2026-06-21T23:11:03.087Z