Surgery spaces of crystallographic groups

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dc.contributor.authorYamasaki, Masayukien
dc.contributor.committeechairQuinn, Franken
dc.contributor.committeememberArnold, Jesse T.en
dc.contributor.committeememberMcCoy, Robert A.en
dc.contributor.committeememberOlin, Robert F.en
dc.contributor.committeememberSnider, R.L.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2017-01-30T21:23:31Zen
dc.date.available2017-01-30T21:23:31Zen
dc.date.issued1982en
dc.description.abstractLet Γ be a crystallographic group acting on the n-dimensional Euclidean space. In this dissertation, the surgery obstruction groups of Γ are computed in terms of certain sheaf homology groups defined by F. Quinn, when Γ has no 2-torsion. The main theorem is : Theorem : If a crystallographic group Γ has no 2-torsion, there is a natural isomorphism a : H<sub>*</sub>(R<sup>n</sup> /Γ; L(p)) → L<sub>*</sub><sup>-∞</sup>(Γ).en
dc.description.degreePh. D.en
dc.format.extentiii, 103, [1] leavesen
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttp://hdl.handle.net/10919/74656en
dc.language.isoen_USen
dc.publisherVirginia Polytechnic Institute and State Universityen
dc.relation.isformatofOCLC# 9184851en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subject.lccLD5655.V856 1982.Y925en
dc.subject.lcshCrystallography, Mathematicalen
dc.subject.lcshSurgery (Topology)en
dc.subject.lcshHomotopy equivalencesen
dc.subject.lcshManifolds (Mathematics)en
dc.titleSurgery spaces of crystallographic groupsen
dc.typeDissertationen
dc.type.dcmitypeTexten
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.leveldoctoralen
thesis.degree.namePh. D.en

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