Artículo
Barmak, J.A.; Minian, E.G. "A note on coverings of posets, a-spaces and polyhedra" (2016) Homology, Homotopy and Applications. 18(1):143-150
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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.
Registro:
| Documento: | Artículo |
| Título: | A note on coverings of posets, a-spaces and polyhedra |
| Autor: | Barmak, J.A.; Minian, E.G. |
| Filiación: | Departamento de Matemática - IMAS, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Palabras clave: | A-space; Covering map; Poset; Simplicial complex |
| Año: | 2016 |
| Volumen: | 18 |
| Número: | 1 |
| Página de inicio: | 143 |
| Página de fin: | 150 |
| DOI: | http://dx.doi.org/10.4310/hha.2016.v18.n1.a8 |
| Título revista: | Homology, Homotopy and Applications |
| Título revista abreviado: | Homology Homotopy Applic. |
| ISSN: | 15320073 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15320073_v18_n1_p143_Barmak |
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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
