Elementary moves for higher dimensional knots
Tom 184 / 2004
Fundamenta Mathematicae 184 (2004), 291-310
MSC: 57R40, 57R45, 57R52.
DOI: 10.4064/fm184-0-16
Streszczenie
For smooth knottings of compact (not necessarily orientable) $n$-dimensional manifolds in ${\mathbb R}^{n+2}$ (or ${\mathbb S}^{n+2}$ ), we generalize the notion of knot moves to higher dimensions. This reproves and generalizes the Reidemeister moves of classical knot theory. We show that for any dimension there is a finite set of elementary isotopies, called moves, so that any isotopy is equivalent to a finite sequence of these moves.
