Kirby-Siebenmann Invariant

An integer kappa equal to 0 or 1 which vanishes iff the product manifold M^4×R can be given a smooth structure. Here, M^n is a compact connected topological four-manifold.

See also

Smale Theorem

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Freedman, M. H. and Quinn, F. Topology of 4-Manifolds. Princeton, NJ: Princeton University Press, 1990.Kirby, R. C. and Siebermann, L. C. Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. Princeton, NJ: Princeton University Press, 1977.

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Kirby-Siebenmann Invariant

Cite this as:

Weisstein, Eric W. "Kirby-Siebenmann Invariant." From MathWorld--A Wolfram Web Resource.

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