English

On monomial ideal rings and a theorem of Trevisan

Algebraic Topology 2012-05-31 v1 Commutative Algebra Algebraic Geometry Combinatorics

Abstract

A direct proof is presented of a form of Alvise Trevisan's result, that every monomial ideal ring is represented by the cohomology of topological space. Certain of these rings are shown to be realized by polyhedral products indexed by simplicial complexes.

Keywords

Cite

@article{arxiv.1205.6258,
  title  = {On monomial ideal rings and a theorem of Trevisan},
  author = {A. Bahri and M. Bendersky and F. R. Cohen and S. Gitler},
  journal= {arXiv preprint arXiv:1205.6258},
  year   = {2012}
}