Geodesic
The geometric realization of monomial ideal rings and a theorem of Trevisan
Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 1-7.

Voir la notice de l'article provenant de la source International Press of Boston

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.
DOI : 10.4310/HHA.2013.v15.n2.a1
Classification : 13F55, 55T20, 57T35
Keywords: monomial ideal ring, Stanley-Reisner ring, Davis-Januszkiewicz space, polar-ization, polyhedral product 
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A. Bahri; M. Bendersky; F. R. Cohen; S. Gitler. The geometric realization of monomial ideal rings and a theorem of Trevisan. Homology, homotopy, and applications, Tome 15 (2013) no. 2, pp. 1-7. doi : 10.4310/HHA.2013.v15.n2.a1. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2013.v15.n2.a1/

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