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dc.contributor.author변양현-
dc.date.accessioned2017-08-09T00:09:12Z-
dc.date.available2017-08-09T00:09:12Z-
dc.date.issued2015-10-
dc.identifier.citationTOPOLOGY AND ITS APPLICATIONS, v. 194, Page. 349-357en_US
dc.identifier.issn0166-8641-
dc.identifier.issn1879-3207-
dc.identifier.urihttp://www.sciencedirect.com/science/article/pii/S0166864115003740?via%3Dihub-
dc.identifier.urihttp://hdl.handle.net/20.500.11754/28376-
dc.description.abstractFor each Poincare duality group there exists a class, which we call the tangential Thom class of Gamma, in the group cohomology of Gamma x Gamma with a right choice of the coefficient module. The class has the crucial properties, even if stated in a purely algebraic language, which correspond to those of Thom class of the tangent bundle of a closed manifold. In particular the Thom isomorphism has been proved to exist by observing that certain two sequences of homological functors, one being the homology of Gamma and the other that of Gamma x Gamma, being regarded as functors defined on the category of Z Gamma-modules are homological and effaceable. (C) 2015 Elsevier B.V. All rights reserved.en_US
dc.language.isoenen_US
dc.publisherELSEVIER SCIENCE BVen_US
dc.subjectPoincaré duality groupen_US
dc.subjectTangential Thom classen_US
dc.subjectThom isomorphismen_US
dc.titleThe tangential Thom class of a Poincare duality groupen_US
dc.typeArticleen_US
dc.relation.volume194-
dc.identifier.doi10.1016/j.topol.2015.09.001-
dc.relation.page349-357-
dc.relation.journalTOPOLOGY AND ITS APPLICATIONS-
dc.contributor.googleauthorByun, Yanghyun-
dc.relation.code2015010047-
dc.sector.campusS-
dc.sector.daehakCOLLEGE OF NATURAL SCIENCES[S]-
dc.sector.departmentDEPARTMENT OF MATHEMATICS-
dc.identifier.pidyhbyun-
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COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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