Lefschetz duality and topological tubular neighbourhoods

Johnson, F. E. A.

doi:10.1090/S0002-9947-1972-0310892-X

Lefschetz duality and topological tubular neighbourhoods
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Trans. Amer. Math. Soc. 172 (1972), 95-110 Request permission

Abstract:

We seek an analogue for topological manifolds of closed tubular neighbourhoods (for smooth imbeddings) and closed regular neighbourhoods (for piecewise linear imbeddings). We succeed when the dimension of the ambient manifold is at least six. The proof uses topological handle theory, the results of Siebenmann’s thesis, and a strong version of the Lefschetz Duality Theorem which yields a duality formula for Wall’s finiteness obstruction.

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Thesis

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