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.
"Generalized Davis-Januszkiewicz spaces, multicomplexes and monomial rings." Homology Homotopy Appl. 13 (1) 205 - 221, 2011.