Homology, Homotopy and Applications
Volume 15 (2013)
The geometric realization of monomial ideal rings and a theorem of Trevisan
Pages: 1 – 7
A direct proof is presented of a form of Alvise Trevisan’s theorem that every monomial ideal ring is represented by the cohomology of a topological space. Certain of these rings are shown to be realized by polyhedral products indexed by simplicial complexes.
monomial ideal ring, Stanley-Reisner ring, Davis-Januszkiewicz space, polar-ization, polyhedral product
2010 Mathematics Subject Classification
Primary 13F55. Secondary 55T20, 57T35.