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Abstract:

We prove a generalization of a result of Dong and Santos-Sturmfels about the homotopy type of the Alexander dual of balls and spheres. Our results involve NH-manifolds, which were recently introduced as the non-pure counterpart of classical polyhedral manifolds. We show that the Alexander dual of an NH-ball is contractible and the Alexander dual of an NH-sphere is homotopy equivalent to a sphere. We also prove that NH-balls and NH-spheres arise naturally when considering the double duals of standard balls and spheres. © 2015 Elsevier Inc.

Registro:

Documento: Artículo
Título:A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls
Autor:Capitelli, N.A.; Minian, E.G.
Filiación:Departamento de Matemática, FCEyN, Universidad de Buenos Aires, Buenos Aires, Argentina
IMAS-CONICET, Argentina
Palabras clave:Alexander dual; Combinatorial manifolds; Simplicial complexes
Año:2016
Volumen:138
Página de inicio:155
Página de fin:174
DOI: http://dx.doi.org/10.1016/j.jcta.2015.10.002
Título revista:Journal of Combinatorial Theory. Series A
Título revista abreviado:J. Comb. Theory Ser. A
ISSN:00973165
CODEN:JCBTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00973165_v138_n_p155_Capitelli

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Citas:

---------- APA ----------
Capitelli, N.A. & Minian, E.G. (2016) . A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls. Journal of Combinatorial Theory. Series A, 138, 155-174.
http://dx.doi.org/10.1016/j.jcta.2015.10.002
---------- CHICAGO ----------
Capitelli, N.A., Minian, E.G. "A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls" . Journal of Combinatorial Theory. Series A 138 (2016) : 155-174.
http://dx.doi.org/10.1016/j.jcta.2015.10.002
---------- MLA ----------
Capitelli, N.A., Minian, E.G. "A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls" . Journal of Combinatorial Theory. Series A, vol. 138, 2016, pp. 155-174.
http://dx.doi.org/10.1016/j.jcta.2015.10.002
---------- VANCOUVER ----------
Capitelli, N.A., Minian, E.G. A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls. J. Comb. Theory Ser. A. 2016;138:155-174.
http://dx.doi.org/10.1016/j.jcta.2015.10.002