Elementary moves for higher dimensional knots

Dennis Roseman. "Elementary moves for higher dimensional knots." Fundamenta Mathematicae 184.1 (2004): 291-310. <http://eudml.org/doc/283078>.

@article{DennisRoseman2004,
abstract = {For smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in $ℝ^\{n+2\}$ (or $^\{n+2\}$), 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.},
author = {Dennis Roseman},
journal = {Fundamenta Mathematicae},
keywords = {projections of knots; knot moves; Morse functions},
language = {eng},
number = {1},
pages = {291-310},
title = {Elementary moves for higher dimensional knots},
url = {http://eudml.org/doc/283078},
volume = {184},
year = {2004},
}

TY - JOUR
AU - Dennis Roseman
TI - Elementary moves for higher dimensional knots
JO - Fundamenta Mathematicae
PY - 2004
VL - 184
IS - 1
SP - 291
EP - 310
AB - For smooth knottings of compact (not necessarily orientable) n-dimensional manifolds in $ℝ^{n+2}$ (or $^{n+2}$), 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.
LA - eng
KW - projections of knots; knot moves; Morse functions
UR - http://eudml.org/doc/283078
ER -