Geodesic
Adding inverses to diagrams encoding algebraic structures
Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 149-174.

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

We modify a previous result, which showed that certain diagrams of spaces are essentially simplicial monoids, to construct diagrams of spaces which model simplicial groups. Furthermore, we show that these diagrams can be generalized to models for Segal groupoids. We then modify Segal’s model for simplicial abelian monoids in such a way that it becomes a model for simplicial abelian groups
DOI : 10.4310/HHA.2008.v10.n2.a8
Classification : 18B40, 18C10, 55P35, 55U10
Keywords: simplicial groups, Segal groupoids, diagram categories 
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     author = {Julia E. Bergner},
     title = {Adding inverses to diagrams encoding algebraic structures},
     journal = {Homology, homotopy, and applications},
     pages = {149--174},
     publisher = {mathdoc},
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     number = {2},
     year = {2008},
     doi = {10.4310/HHA.2008.v10.n2.a8},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a8/}
}
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Julia E. Bergner. Adding inverses to diagrams encoding algebraic structures. Homology, homotopy, and applications, Tome 10 (2008) no. 2, pp. 149-174. doi : 10.4310/HHA.2008.v10.n2.a8. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2008.v10.n2.a8/

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