Geodesic
Generalized Davis-Januszkiewicz spaces, multicomplexes and monomial rings
Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 205-221.

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

We show that every monomial ring can be realized topologically by a certain topological space. This space is called a generalized Davis-Januszkiewicz space and can be thought of as a colimit over a multicomplex, a combinatorial object generalizing a simplicial complex. Furthermore, we show that such a space is obtained as the homotopy fiber of a certain map with total space the classical Davis-Januszkiewicz space.
DOI : 10.4310/HHA.2011.v13.n1.a8
Classification : 13F55, 55Pxx, 55U05
Keywords: Davis-Januszkiewicz space, monomial ring, Stanley-Rainer ring, simplicial complex, polarization, homotopy fiber 
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     title = {Generalized {Davis-Januszkiewicz} spaces, multicomplexes and monomial rings},
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     pages = {205--221},
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Alvise J. Trevisan. Generalized Davis-Januszkiewicz spaces, multicomplexes and monomial rings. Homology, homotopy, and applications, Tome 13 (2011) no. 1, pp. 205-221. doi : 10.4310/HHA.2011.v13.n1.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2011.v13.n1.a8/

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