Construct · 1 fields · 1 citations

knot: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
knot1 CONSTRUCTKnot theoryALEXANDER · 1928

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Topology

A closed curve knotted in space

In topology a knot is an embedding of a circle in three-dimensional space, studied up to continuous deformation that never passes the strand through itself. Alexander's 1928 Topological invariants of knots and links introduced a polynomial that distinguishes many knots, giving the field an algebraic way to tell when two tangles are really the same. The referent is a mathematical equivalence class of closed curves, characterised by invariants and abstracted from any physical rope.[1]

Unit
An equivalence class of closed curves, characterised by its invariants
Recovery means
Not applicable
Measured by
By knot invariants such as the Alexander or Jones polynomial, crossing number, and genus

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Nearby constructs

braid2 fields · 2 citationsinvariant · one construct, three systemshitch1 fields · 1 citationsanchor · a standalone constructbend1 fields · 1 citationsanchor · a standalone construct

References

  1. Alexander, J. W. (1928). Topological invariants of knots and links. Transactions of the American Mathematical Society, 30(2), 275–306. https://doi.org/10.1090/S0002-9947-1928-1501429-1

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