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Simple homotopy type

From Encyclopedia of Mathematics
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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)
How to Cite This Entry:
Simple homotopy type. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Simple_homotopy_type&oldid=48705