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# cap off

Definition from Dictionary, a free dictionary

We dribble away our life, little by little, in small packages—we don't throw it away all at once.

Robert A. Cook## English

### Verb

Third person singular |
Simple past |
Past participle |
Present participle |

**to cap off**(

*third-person singular simple present*caps off,

*present participle*capping off,

*simple past and past participle*capped off)

- (transitive) To finish.
- (mathematics, Template loop detected: Template:context 1) To glue a relatively uncomplicated compact manifold to a manifold of the same dimension along (a component of the latter's boundary).
*a.***1997**, Rob[ion] Kirby, "Problems in Low-Dimensional Topology", problem 3.21, in, 1997, William H[ilal] Kazez, editor,*Geometric Topology*, proceedings of the 1993 Georgia International Topology Conference, AMS/IP Studies in Advanced Mathematics 2, American Mathematical Society, ISBN 082180653X, part 2, page 163,- Let <math>X</math> be an acyclic 2-complex and <math>M^3_0</math> an abstract regular neighborhood of <math>X</math>; <math>\partial M_0=S^2</math>, so
**cap off**to get a homology <math>3</math>-sphere <math>M^3</math>.

- Let <math>X</math> be an acyclic 2-complex and <math>M^3_0</math> an abstract regular neighborhood of <math>X</math>; <math>\partial M_0=S^2</math>, so
*a.***1997**, Michael T. Anderson, "Scalar Curvature and Geometrization Conjectures for 3-Manifolds", in, 1997, Karsten Grove and Peter Petersen, editors,*Comparison Geometry*, Mathematical Sciences Research Institute Publications 30, ISBN 0521592224, page 53,- Note, however, that when one cuts a 3-manifold along an incompressible torus, there is no canonical way to
**cap off**the boundary components thus created, as is the case for spheres. For any toral boundary component, there are many ways to glue in a solid torus... .

- Note, however, that when one cuts a 3-manifold along an incompressible torus, there is no canonical way to
**1997**, W[illiam] B[ernard] Raymond Lickorish,*An Introduction to Knot Theory*, Graduate Texts in Mathematics 175, Springer, ISBN 038798254X, page 61,**Cap off**, with discs just above the annulus, any circuits that bound in the annulus; then use annuli to**cap off**adjacent pairs of curves that encircle the annulus in opposite directions.

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