Surgery

In the process of attaching a k-handle to a manifold M, the boundary of M is modified by a process called (k-1)-surgery. Surgery consists of the removal of a tubular neighborhood of a (k-1)-sphere S^(k-1) from the boundaries of M and the dim(M)-1 standard sphere, and the gluing together of these two scarred-up objects along their common boundaries.

See also

Boundary, Dehn Surgery, Handle, Manifold, Sphere, Tubular Neighborhood

Explore with Wolfram|Alpha

References

Cappell, S.; Ranicki, A.; and Rosenberg, J. (Eds.). Surveys on Surgery Theory, Vol. 1. Princeton, NJ: Princeton University Press, 2000.

Referenced on Wolfram|Alpha

Surgery

Cite this as:

Weisstein, Eric W. "Surgery." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Surgery.html

Subject classifications