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A surface may have points that can be
cut off in pairs, so it is not tight. |
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Strategy:
- Place a big ball around the surface.
- Attach tubes from the ball to all points that could be cut off.
(The ball is the $M^+$ region. The tubes are attached at the disks $D_i$.)
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Note that this changes the topology:
- The first tube forms a connected sum with the sphere
- The remaining tubes add handles
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