Revision #189 → #1338 · back to history
addedMathematical knot86eac5cb44f5
addedHigher-dimensional knotcbcfd02c1c5d
addedKnot as a simple closed curvee3b44acf1ea7
addedKnot equivalence (orientation-preserving homeomorphism)f24f31573759
addedAmbient isotopy414fa91cda18
addedEquivalence of the two notions of knot equivalence37275ff4c4e1
addedIsotopy makes every knot triviald10b32e45339
addedRecognition problem4393339943ab
addedKnot diagrame33e94271f81
addedReduced diagram917620579f81
addedPetal projection47a1f1ab2ed2
addedReidemeister moves theorem692ed2192a61
addedKnot invariantfc63b0ca7dea
addedTricolorability (elementary invariant)acfaca7224d3
addedKnot group and Alexander polynomialba5dbcfc3c84
addedKnot polynomial88ff616fb9ee
addedAlexander–Conway polynomialc1bffcc2fb15
addedRecursive (skein) definition of Alexander–Conway polynomial485e8446976c
addedSkein relation7a4358f0426b
addedAlexander–Conway polynomial of the trefoil083eaf8303d8
addedTrefoil is not the unknot5751f50f7d50
addedTrefoils are not amphichiral85cb1e7b42c9
addedJones polynomial distinguishes the trefoils8a261031cf31
addedThurston: many knots are hyperbolicad623b6bf7c8
addedHyperbolic structure yields knot invariants480ad1a9dd1d
addedHyperbolic invariantsaf0fc1f8aae4
addedKnots untie in four dimensions26ffab357449
addedEvery 4D loop is the unknot563b8298cb09
addedSlice-ribbon problem5528b360f9f2
addedSmoothly slice knot73e18c5f8ec6
addedRibbon knot0af7e00bf7d2
addedRibbon knots are slice1233832e255a
addedKnotted higher-dimensional spherea5d55bac41fa
addedGeneral position unknotting567efad554ec
addedPL spheres knot only in codimension twoed6ae538ad18
addedCodimension of smooth knots can be largee55b9164b4e6
addedAkbulut–King: all knots are algebraicfb2239c9d4a5
addedn-knot and n-link99dca12348e9
addedKnot sumb86db57be03b
addedKnot sum is commutative and associatived368ffbc7bd6
addedPrime knotc4b5547238ae
addedComposite knot20d3980b2a7d
addedUnique prime decomposition of knotsd29e6d9b9831
addedMultiplication (bracket) of knots47b988eecd0b
addedProperties of the bracket operation0cc649494467
addedBracket yields trivial Alexander–Conway polynomialfa919b34756d
addedMonotonicity of prime-knot counts is open4e1f9ff5e5e3
addedAlexander–Briggs notation9e3cfa3c8341
addedDowker–Thistlethwaite notation9687d9dc5ab4
addedConway notationcbb3eba1b1c3
addedConway notation example 1*2 −3 2b0da3d274573
addedGauss code6326ea921b34
addedBondles (bonded quandles)1d7984ca120c