Difference between revisions of "Surgery"
From Encyclopedia of Mathematics
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| − | ''spherical surgery, on a manifold of type | + | {{TEX|done}} |
| + | ''spherical surgery, on a manifold of type $(\lambda,n-\lambda)$'' | ||
| − | A transition from one | + | A transition from one $(n-1)$-dimensional manifold $M_1$ to another manifold $M_2$, consisting in deleting a sphere of dimension $\lambda-1$ imbedded in $M_1$ and replacing it by an imbedded sphere of dimension $n-\lambda-1$. See [[Handle theory|Handle theory]] for details. |
Latest revision as of 07:44, 15 July 2014
spherical surgery, on a manifold of type $(\lambda,n-\lambda)$
A transition from one $(n-1)$-dimensional manifold $M_1$ to another manifold $M_2$, consisting in deleting a sphere of dimension $\lambda-1$ imbedded in $M_1$ and replacing it by an imbedded sphere of dimension $n-\lambda-1$. See Handle theory for details.
Comments
Cf. also Morse surgery.
How to Cite This Entry:
Surgery. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Surgery&oldid=32442
Surgery. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Surgery&oldid=32442
This article was adapted from an original article by M.I. Voitsekhovskii (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article