Simple homotopy type
From Encyclopedia of Mathematics
Two CW-complexes 
, 
are simple homotopy equivalent if there is a homotopy equivalence 
whose Whitehead torsion vanishes. An equivalence class under simple homotopy equivalence is called a simple homotopy type.
Comments
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
Simple homotopy type. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Simple_homotopy_type&oldid=48705