On: Can planes be tied in knots in higher dimensions t...

[cynicalkane]

Any such knot could be topologically deformed into a knot made of arbitrarily thin plane segment, which would end up being the same as a line knot. So knots made out of finite plane segments are uninteresting.

[OJFord → cynicalkane]

I should have been more clear though, I was imagining an infinite 'blanket', which I grab in the 'middle' (not an end) and tie a knot there.

Or does that not count as (mathematical) knotting?