A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls
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...
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Autores principales: | , |
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Formato: | JOUR |
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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00973165_v138_n_p155_Capitelli |
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Sumario: | 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. |
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