Yamasaki, Masayuki2017-01-302017-01-301982http://hdl.handle.net/10919/74656Let 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).iii, 103, [1] leavesapplication/pdfen-USIn CopyrightLD5655.V856 1982.Y925Crystallography, MathematicalSurgery (Topology)Homotopy equivalencesManifolds (Mathematics)Surgery spaces of crystallographic groupsDissertation