Elementary moves for higher dimensional knots

• Autorzy: Dennis Roseman
• Języki publikacji: EN

Abstrakty

EN

For smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in $ℝ^{n+2}$ (or $𝕊^{n+2}$), 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.

Kategorie tematyczne

• 57R45: Singularities of differentiable mappings
• 57R40: Embeddings
• 57R52: Isotopy

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2004
• Tom: 184
• Numer: 1
• Strony: 291-310

Daty

wydano

2004

Twórcy

autor

Dennis Roseman

• The University of Iowa, Iowa City, IA 52242, U.S.A.

Identyfikatory

DOI

10.4064/fm184-0-16