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Slice knot

Index Slice knot

A slice knot is a type of mathematical knot. [1]

13 relations: Ball (mathematics), Circle, Graduate Texts in Mathematics, Knot theory, Link concordance, Local flatness, Ralph Fox, Ribbon knot, Signature of a knot, Slice genus, Smoothness, Stevedore knot (mathematics), 3-sphere.

Ball (mathematics)

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

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Circle

A circle is a simple closed shape.

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Graduate Texts in Mathematics

Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.

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Knot theory

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

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Link concordance

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 \).

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Local flatness

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

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Ralph Fox

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

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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.

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Signature of a knot

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

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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.

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Smoothness

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

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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.

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3-sphere

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

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Redirects here:

Topologically slice.

References

[1] https://en.wikipedia.org/wiki/Slice_knot

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