Abstract:
We show that there exists a correspondence between the equivalence classes of coverings of a polyhedron and the equivalence classes of coverings of its poset of simplices. The same is true for a poset and its order complex. The coverings of a poset can be understood in two equivalent ways, as categorical coverings, when the poset is viewed as a category, or as topological coverings, when it is viewed as an A-space. This implies that the theory of coverings of polyhedra can be handled completely in the combinatorial setting. © 2016, International Press.
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Citas:
---------- APA ----------
Barmak, J.A. & Minian, E.G.
(2016)
. A note on coverings of posets, a-spaces and polyhedra. Homology, Homotopy and Applications, 18(1), 143-150.
http://dx.doi.org/10.4310/hha.2016.v18.n1.a8---------- CHICAGO ----------
Barmak, J.A., Minian, E.G.
"A note on coverings of posets, a-spaces and polyhedra"
. Homology, Homotopy and Applications 18, no. 1
(2016) : 143-150.
http://dx.doi.org/10.4310/hha.2016.v18.n1.a8---------- MLA ----------
Barmak, J.A., Minian, E.G.
"A note on coverings of posets, a-spaces and polyhedra"
. Homology, Homotopy and Applications, vol. 18, no. 1, 2016, pp. 143-150.
http://dx.doi.org/10.4310/hha.2016.v18.n1.a8---------- VANCOUVER ----------
Barmak, J.A., Minian, E.G. A note on coverings of posets, a-spaces and polyhedra. Homology Homotopy Applic. 2016;18(1):143-150.
http://dx.doi.org/10.4310/hha.2016.v18.n1.a8