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A smooth manifold with a Poisson bracket defined on its function space.

The number q in a star polygon {p/q}.

A line segment on the boundary of a face, also called a side.

A point at which two polygon edges of a polygon meet.

The vertex of a polytope is a point where edges of the polytope meet.

A tensor g whose discriminant satisfies g=g_(11)g_(22)-g_(12)^2>0.

The relationship x precedes y is written x≺y. The relation x precedes or is equal to y is written x<=y.

alpha is called a predecessor if there is no ordinal number beta such that beta+1=alpha.

An operator in logic which returns either true or false.

An n-manifold which cannot be "nontrivially" decomposed into other n-manifolds.