Paper introduces a new method for controlled surgery obstructions.
arXiv research
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The algebraic -groups $L_*(\A,X)$ are defined for an additive category $\A$ with chain duality and a -set , and identified with the generalized homology groups $H_*(X;\LL_{\bullet}(\A))$ of with coefficients in the algebraic -spectrum $\LL_{\bullet}(\A)$. Previously such groups had only been defined for…
It is a deep fact that the homotopy classification of topological manifolds is convariantly functorial. In other words, a map from a topological manifold M to another N naturally induces a map from the structure set S(M) to S(N). We extend the fact to the isovariant structure set S_G(M, rel M_s) of G-equivariant topolo…