Kirby–Siebenmann class

Kirby–Siebenmann class

In mathematics, the Kirby–Siebenmann class is an element of the fourth cohomology group:e(M) in H^4(M;mathbf{Z}_2)which must vanish if a topological manifold "M" is to have a piecewise linear structure. It is named for Robion Kirby and Larry Siebenmann.

ee also

*Hauptvermutung

References

*cite arXiv|author=Yuli B. Rudyak|title=Piecewise linear structures on topological manifolds|year=2001|version=|eprint=math.AT/0105047
*citation|url=http://www.maths.ed.ac.uk/~aar/haupt/ks76.pdf |title=Foundational Essays on Topological Manifolds, Smoothings, and Triangulations|first= Robion C. |last=Kirby|first2= Laurence C.|last2=Siebenmann |year=1977|ISBN= 0-691-08191-3
*"Topology of 4-Manifolds" by Robion C. Kirby ISBN 0-387-51148-2


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