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The map which takes points on the surface of a sphere S^2 to their antipodal points.

A valuation for which |x|<=1 implies |1+x|<=C for the constant C=1 (independent of x). Such a valuation does not satisfy the strong triangle inequality |x+y|<=max(|x|,|y|).

Capable of taking on one out of two possible values.

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 matrix whose eigenvectors are not complete.

The property of being degenerate.

The multiplicity of a multigraph is its maximum edge multiplicity.

The vectors +/-a_1, ..., +/-a_n in a three-space form a normalized eutactic star iff Tx=x for all x in the three-space.

Given a Euclidean n-space, H_n=n+1.

Definitions about a set which depend on the entire set.