Geodesic
Remarks about $\Delta$-complexes and applications
Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 89-110.

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

We first consider some generalities regarding $\Delta$-complexes, in particular, we give a brief history of the category of $\Delta$-complexes, and its relation to the category of semi-simplicial complexes introduced in 1950 by Eilenberg and Zilber. A natural construction of $\Delta$-complexes arising from a group action on a simplicial complex is next considered. Finally, an application of this construction to obtain an elementary explicit computation of the cohomology ring $H^{*} (\mathbb{R}P^n ; \mathbb{Z}_2)$, based on a $\Delta$-complex structure, is given.
DOI : 10.4310/HHA.2017.v19.n1.a5
Classification : 55N35, 57Q91
Keywords: $\Delta$-complex, EZ-complex, group action 
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Michael Pors; Soumen Sarkar; Peter Zvengrowski. Remarks about $\Delta$-complexes and applications. Homology, homotopy, and applications, Tome 19 (2017) no. 1, pp. 89-110. doi : 10.4310/HHA.2017.v19.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2017.v19.n1.a5/

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