A relative Euclidean thickening
John R. Klein
Abstract
For a finite CW pair (K,L), we show how to construct a Poincaré triad (P;∂0 P,∂1 P) and a weak homotopy equivalence (K,L) (P,∂0 P). Furthermore, the Poincaré pair (P,∂ P) has a trivial Spivak normal fibration. The proof is homotopy-theoretic. We also prove a uniqueness result.
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