Kirby–Siebenmann class

From Wikipedia, the free encyclopedia

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.

References

Rudyak, Yuli B. (2001). "Piecewise linear structures on topological manifolds". arXiv:math.AT/0105047 [math.AT].
Kirby, Robion C.; Siebenmann, Laurence C. (1977). Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. Princeton, NJ: Princeton Univ. Pr. ISBN 0-691-08191-3.
Topology of 4-Manifolds by Robion C. Kirby ISBN 0-387-51148-2

This article is issued from Wikipedia. The text is available under the Creative Commons Attribution/Share Alike; additional terms may apply for the media files.