Difference between revisions of "Knot theory"
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| + | Knot theory is a field of mathematics concerned with knots. Knot theory is frequently associated with [[Algebraic topology]] and Geometric Topology. | ||
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| + | A knot is an embedding of S^1 (the circle) into R^3. Every knot is homeomorphic to S^1. | ||
| + | Knots are classified into knot types by isotopy class. ([[ambient-isotopy]]) | ||
Latest revision as of 16:59, 16 December 2024
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Knot theory is a field of mathematics concerned with knots. Knot theory is frequently associated with Algebraic topology and Geometric Topology.
A knot is an embedding of S^1 (the circle) into R^3. Every knot is homeomorphic to S^1. Knots are classified into knot types by isotopy class. (ambient-isotopy)
