Kirby–Siebenmann class

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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.

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