Simple homotopy type
From HandWiki
Two CW-complexes $ K $, $ L $ are simple homotopy equivalent if there is a homotopy equivalence $ \tau : K \rightarrow L $ whose Whitehead torsion vanishes. An equivalence class under simple homotopy equivalence is called a simple homotopy type.
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References
| [a1] | G. de Rham, "Torsion et type simple d'homotopie" , Lect. notes in math. , 48 , Springer (1967) |
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