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The number of empty neighbors of a cluster.

The underlying set of the fundamental group of X is the set of based homotopy classes from the circle to X, denoted [S^1,X]. For general spaces X and Y, there is no natural ...

Two open manifolds M and M^' are cobordant if there exists a manifold with boundary W^(n+1) such that an acceptable restrictive relationship holds.

A theorem that guarantees that the trajectory of Langton's ant is unbounded.

Two lines that lie on top of one another are called coincident lines.

A type I Markov move.

If the consistency of one of two propositions implies the consistency of the other, the first is said to have greater consistency strength.

A topological space.

Curves which, when rotated in a square, make contact with all four sides. Such curves are sometimes also known as rollers. The "width" of a closed convex curve is defined as ...

A number of the form a_0+a_1zeta+...+a_(p-1)zeta^(p-1), where zeta=e^(2pii/p) is a de Moivre number and p is a prime number. Unique factorizations of cyclotomic integers fail ...