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dc.creatorMinian, Elias Gabriel-
dc.date2017-07-07T22:34:10Z-
dc.date2017-07-07T22:34:10Z-
dc.date2012-08-
dc.date2017-07-07T14:43:33Z-
dc.date.accessioned2019-04-29T15:57:19Z-
dc.date.available2019-04-29T15:57:19Z-
dc.identifierMinian, Elias Gabriel; Some remarks on Morse theory for posets, homological Morse theory and finite manifolds; Elsevier Science; Topology And Its Applications; 159; 12; 8-2012; 2860-2869-
dc.identifier0166-8641-
dc.identifierhttp://hdl.handle.net/11336/19957-
dc.identifierCONICET Digital-
dc.identifierCONICET-
dc.identifier.urihttp://rodna.bn.gov.ar:8080/jspui/handle/bnmm/306148-
dc.descriptionWe introduce a version of discrete Morse theory for posets. This theory studies the topology of the order complexes K(X) of h-regular posets X from the critical points of admissible matchings on X. Our approach is related to R. Forman’s discrete Morse theory for CW-complexes and generalizes Forman and Chari’s results on the face posets of regular CW-complexes. We also introduce a homological variant of the theory that can be used to study the topology of triangulable homology manifolds by means of their order triangulations.-
dc.descriptionFil: Minian, Elias Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina-
dc.formatapplication/pdf-
dc.formatapplication/pdf-
dc.languageeng-
dc.publisherElsevier Science-
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.topol.2012.05.027-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166864112002374-
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1007.1930-
dc.rightsinfo:eu-repo/semantics/restrictedAccess-
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/-
dc.sourcereponame:CONICET Digital (CONICET)-
dc.sourceinstname:Consejo Nacional de Investigaciones Científicas y Técnicas-
dc.sourceinstacron:CONICET-
dc.subjectMorse Theory-
dc.subjectFinite Spaces-
dc.subjectPosets-
dc.subjectHomology-
dc.subjectMatemática Pura-
dc.subjectMatemáticas-
dc.subjectCIENCIAS NATURALES Y EXACTAS-
dc.titleSome remarks on Morse theory for posets, homological Morse theory and finite manifolds-
dc.typeinfo:eu-repo/semantics/article-
dc.typeinfo:eu-repo/semantics/publishedVersion-
dc.typeinfo:ar-repo/semantics/articulo-
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