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# Slice knot

A slice knot is a type of mathematical knot. 

## Ball (mathematics)

In mathematics, a ball is the space bounded by a sphere.

## Circle

A circle is a simple closed shape.

## Knot theory

In topology, knot theory is the study of mathematical knots.

In mathematics, two links L_0 \subset S^n and L_1 \subset S^n are concordant if there exists an embedding f: L_0 \times \to S^n \times such that f(L_0 \times \).

## Local flatness

In topology, a branch of mathematics, local flatness is a property of a submanifold in a topological manifold of larger dimension.

## Ralph Fox

Ralph Hartzler Fox (March 24, 1913 – December 23, 1973) was an American mathematician.

## Ribbon knot

In the mathematical area of knot theory, a ribbon knot is a knot that bounds a self-intersecting disk with only ribbon singularities.

## Signature of a knot

The signature of a knot is a topological invariant in knot theory.

## Slice genus

In mathematics, the slice genus of a smooth knot K in S3 (sometimes called its Murasugi genus or 4-ball genus) is the least integer g such that K is the boundary of a connected, orientable 2-manifold S of genus g embedded in the 4-ball D4 bounded by S3.

## Smoothness

In mathematical analysis, the smoothness of a function is a property measured by the number of derivatives it has that are continuous.

## Stevedore knot (mathematics)

In knot theory, the stevedore knot is one of three prime knots with crossing number six, the others being the 62 knot and the 63 knot.

## 3-sphere

In mathematics, a 3-sphere, or glome, is a higher-dimensional analogue of a sphere.

## References

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