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#knottheory — Public Fediverse posts

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  1. Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.

    #knottheory

  2. Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.

    #knottheory

  3. Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.

    #knottheory

  4. Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.

    #knottheory

  5. Why don't mathematicians in knot theory just do a projective transformation on the knot so it has two ends going to infinity? Then you won't have to faff about with explaining how maths knots are closed loops unlike ordinary knots.

    #knottheory

  6. Knot theory news:

    Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': arxiv.org/abs/2506.24088

    If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.

    #Math #Maths #Mathematics #KnotTheory

  7. Knot theory news:

    Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': arxiv.org/abs/2506.24088

    If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.

    #Math #Maths #Mathematics #KnotTheory

  8. Knot theory news:

    Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': arxiv.org/abs/2506.24088

    If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.

    #Math #Maths #Mathematics #KnotTheory

  9. Knot theory news:

    Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': arxiv.org/abs/2506.24088

    If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.

    #Math #Maths #Mathematics #KnotTheory

  10. Knot theory news:

    Mark Brittenham & Susan Hermiller: 'Unknotting number is not additive under connected sum': arxiv.org/abs/2506.24088

    If you have a knot tied in a loop of string then the 'unknotting number' is the number of times you would need to pass the string through itself in order to untie it. It was an old conjecture that the unknotting number of two knots tied in the same piece of string was just the sum of the unknotting numbers of the two knots individually. But this result shows that it can be easier to undo two knots when they're both tied in the same loop than it would be if they were each tied in separate loops.

    #Math #Maths #Mathematics #KnotTheory