<p>Let C and C′ be two smooth self transverse immersions of S1 into R2. BothC and C′ divide the plane into a number of disks and one unbounded component.An isotopy of the plane which takes C to C′ induces a 1-1 correspondence betweenthe disks of C and C′. An obvious necessary condition for there to exist an areapreserving isotopy of the plane taking C to C′ is that there exists an isotopy forwhich the area of every disk of C has the same area as the corresponding disk ofC′. In this paper we show that this is also a sufficient condition.</p>
| Identifer | oai:union.ndltd.org:UPSALLA/oai:DiVA.org:uu-112522 |
| Date | January 2009 |
| Creators | Karlsson, Cecilia |
| Publisher | Uppsala University, Department of Mathematics |
| Source Sets | DiVA Archive at Upsalla University |
| Language | English |
| Detected Language | English |
| Type | Student thesis, text |
| Relation | U.U.D.M. project report ; 2009:25 |
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