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dc.contributor.author
Capitelli, Nicolás Ariel
dc.contributor.author
Minian, Elias Gabriel
dc.date.available
2017-06-26T15:40:59Z
dc.date.issued
2016-02
dc.identifier.citation
Capitelli, Nicolás Ariel; Minian, Elias Gabriel; A generalization of a result of Dong and Santos–Sturmfels on the Alexander dual of spheres and balls; Elsevier Inc; Journal of Combinatorial Theory Series A; 138; 2-2016; 155-174
dc.identifier.issn
0097-3165
dc.identifier.uri
http://hdl.handle.net/11336/18862
dc.description.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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Inc
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Simplicial Complexes
dc.subject
Combinatorial Manifolds
dc.subject
Alexander Dual
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
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CIENCIAS NATURALES Y EXACTAS
dc.title
A generalization of a result of Dong and Santos–Sturmfels on the Alexander dual of spheres and balls
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-06-26T14:08:30Z
dc.journal.volume
138
dc.journal.pagination
155-174
dc.journal.pais
Estados Unidos
dc.journal.ciudad
Nueva York
dc.description.fil
Fil: Capitelli, Nicolás Ariel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
dc.description.fil
Fil: Minian, Elias Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santalo". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santalo"; Argentina
dc.journal.title
Journal of Combinatorial Theory Series A
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0097316515001284
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jcta.2015.10.002
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1403.1291
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