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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Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_00973165_v138_n_p155_Capitelli |
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todo:paper_00973165_v138_n_p155_Capitelli2023-10-03T14:56:47Z A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls Capitelli, N.A. Minian, E.G. Alexander dual Combinatorial manifolds Simplicial complexes 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. Fil:Minian, E.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_00973165_v138_n_p155_Capitelli |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
Alexander dual Combinatorial manifolds Simplicial complexes |
spellingShingle |
Alexander dual Combinatorial manifolds Simplicial complexes Capitelli, N.A. Minian, E.G. A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
topic_facet |
Alexander dual Combinatorial manifolds Simplicial complexes |
description |
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. |
format |
JOUR |
author |
Capitelli, N.A. Minian, E.G. |
author_facet |
Capitelli, N.A. Minian, E.G. |
author_sort |
Capitelli, N.A. |
title |
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
title_short |
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
title_full |
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
title_fullStr |
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
title_full_unstemmed |
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls |
title_sort |
generalization of a result of dong and santos-sturmfels on the alexander dual of spheres and balls |
url |
http://hdl.handle.net/20.500.12110/paper_00973165_v138_n_p155_Capitelli |
work_keys_str_mv |
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_version_ |
1782024393791111168 |