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Finding a homeomorphism between almost homeomorphic manifolds

Finding a homeomorphism between almost homeomorphic manifolds

\in Wh(\pi_{1}(\partial W_{1})) , Whitehead torsion near the boundary with respect to g .PROPOSITION 2. Let W_{i}(i=1,2) be compact bounded manifolds and f : Int W_{1}arrow IntW_{2} be a PL homeomorphism with \tau(f_{\infty})\neq 0 , then there is no PL homeomorphism \overline{f} : W_{1}arrow W_{2} such that(See also [5.chap.IX] ).PROOF.If …