A compression disk for a two-sided embedded surface in a three-manifold is an embedded disk meeting exactly in its boundary, with boundary essential in . Replacing an annular neighborhood of this boundary by two parallel copies of the disk reduces the surface's genus or separates it into simpler pieces.

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  1. Incompressible surface
  2. 3-manifold
  3. Topological manifold
  4. Topology
  5. Geometry and topology
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