Regular isotopy
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In the mathematical subject of knot theory, a regular isotopy of a link diagram is the equivalence relation generated by using the 2nd and 3rd Reidemeister moves only. It can be thought of as an isotopy of a ribbon pressed flat against the plane which keeps the ribbon flat. This is a finer equivalence relation than framed isotopy of a framed link, since the 2nd and 3rd Reidemeister moves preserve the winding number of the diagram.
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