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A bundle or fiber bundle is trivial if it is isomorphic to the cross product of the base space and a fiber.

A tubular neighborhood of a submanifold N in M is an embedding of the normal bundle (nu_N) of N into M, i.e., f:nu_N->M, where the image of the zero section of the normal ...

Let a knot K be n-embeddable. Then its tunnel number is a knot invariant which is related to n.

An ultrametric is a metric which satisfies the following strengthened version of the triangle inequality, d(x,z)<=max(d(x,y),d(y,z)) for all x,y,z. At least two of d(x,y), ...

The ultraradical symbol is a notation thet can be used to express solutions not obtainable by finite root extraction. The solution to the irreducible quintic equation x^5+x=a ...

An umbilic point, also called simply an umbilic, is a point on a surface at which the curvature is the same in any direction.

A parallelogram (parallelepiped) containing the minimum repeatable elements of a circle (sphere) packing.

Involving one variable, as opposed to two (bivariate) or many (multivariate).

A fixed point for which the stability matrix has both eigenvalues positive, so lambda_1>lambda_2>0.

A quantity which takes on the value zero is said to vanish. For example, the function f(z)=z^2 vanishes at the point z=0. For emphasis, the term "vanish identically" is ...