Heegaard Splitting
A Heegaard splitting of a connected orientable 3-Manifold 
is any way of expressing as the Union oftwo (3,1)-Handlebodies along their boundaries. The boundary of such a (3,1)-Handlebody is anorientable Surface of some Genus, which determines the number ofHandles in the (3,1)-Handlebodies. Therefore, theHandlebodies involved in a Heegaard splitting are the same, but they may be glued together in astrange way along their boundary. A diagram showing how the gluing is done is known as a Heegaard Diagram.
References
Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 255, 1994.
- Peaucellier's Linkage
- Pedal
- Pedal Circle
- Pedal Coordinates
- Pedal Curve
- Pedal Line
- Pedal Point
- Pedal Triangle
- Peg Knot
- Peg Solitaire
- Peg Top
- Peirce's Theorem
- p-Element
- Pell Equation
- Pell-Lucas Number
- Pell-Lucas Polynomial
- Pell Number
- Pell Polynomial
- Pell Sequence
- Pencil
- Penrose Stairway
- Penrose Tiles
- Penrose Triangle
- Penrose Tribar
- Pentabolo