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In mathematics, a knot is an embedding of a circle into 3-dimensional Euclidean space. The knot group of a knot K is defined as the fundamental group of the knot complement of K in R3,
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Explore the main themes, entities and connections around Knot group. Start with the topic map, then use the sections below for research and deeper semantic analysis.
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knot group isomorphic knots groups two fundamental mathematics link displaystyle see presentation embedding circle equivalent inequivalent first onto computed 3-dimensional
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Knot group | is a | fundamental group of its complement in S 3 | 0.90 | text |
| Knot group | is a | knot invariant and can be used to distinguish between certain pairs of inequivalent knots | 0.90 | text |
| Knot group | related to Examples | The | 0.60 | section |
| Knot group | related to Examples | B3 | 0.60 | section |
| Knot group | related to Examples | This | 0.60 | section |
| Knot group | related to Properties | Two | 0.60 | section |
| Knot group | related to Properties | This | 0.60 | section |
| Knot group | related to Properties | Such | 0.60 | section |
| Knot group | related to Properties | However | 0.60 | section |
| Knot group | related to Properties | The | 0.60 | section |
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