X-Nico

unusual facts about h-cobordism


H-cobordism

Whitehead groups Wh(π), where \pi \cong \pi 1(M) \cong \pi 1(W) \cong \pi 1(N).


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h-cobordism |

Handlebody

The expression is non-unique: the manipulation of handlebody decompositions is an essential ingredient of the proof of the Smale h-cobordism theorem, and its generalization to the s-cobordism theorem.

Normal invariant

This kind of cobordism theory is a homology theory whose coefficients have been calculated by Thom: therefore the cobordism classes of such maps are computable at least in theory for all spaces X.


see also