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A sphere with three handles (and three holes), i.e., a genus-3 torus.

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

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

A generalization of spun knots due to Zeeman. This method produces four-dimensional knot types that cannot be produced by ordinary spinning.

The collection of twistors in Minkowski space that forms a four-dimensional complex vector space.

The unlink, also called the trivial link, of n components consist of n disjoint circles in a plane (Rolfsen 1976, p. 65).

The satellite knot of an unknot twisted inside a torus.

A knot which is not a tame knot.

The zero section of a vector bundle is the submanifold of the bundle that consists of all the zero vectors.

A pair of zips, each zip being half a zipper, which can be zippered up to close a surface along a curve. The concept of a zip-pair can be extremely useful in topological ...