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- W4300179957 abstract "The structure set $ST^{TOP}(M)$ of an $n$-dimensional topological manifold $M$ for $n geqslant 5$ has a homotopy invariant functorial abelian group structure, by the algebraic version of the Browder-Novikov-Sullivan-Wall surgery theory. An element $(N,f) in ST^{TOP}(M)$ is an equivalence class of $n$-dimensional manifolds $N$ with a homotopy equivalence $f:N to M$. The composition formula is that $(P,fg)=(N,f)+f_*(P,g) in ST^{TOP}(M)$ for homotopy equivalences $g:P to N$, $f:N to M$. The formula is required for a paper of Kreck and Luck." @default.
- W4300179957 created "2022-10-03" @default.
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- W4300179957 date "2006-08-29" @default.
- W4300179957 modified "2023-09-29" @default.
- W4300179957 title "A composition formula for manifold structures" @default.
- W4300179957 doi "https://doi.org/10.48550/arxiv.math/0608705" @default.
- W4300179957 hasPublicationYear "2006" @default.
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