Definition
In mathematical analysis, an Osgood curve is a non-self-intersecting curve that has positive area. Despite its area, it is not possible for such a curve to cover any two-dimensional region, distinguishing them from space-filling curves. Osgood curves are named after William Fogg Osgood.
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American Mathematical MonthlyAreaBounded setCesàro fractalConvex hullCurveDenjoy–Riesz theoremDomain (mathematical analysis)Euclidean planeFractalHausdorff dimensionHenri LebesgueJordan arcJordan curveKoch snowflakeKonrad KnoppLebesgue measureMathematical analysisNetto's theoremRamberg–Osgood relationshipSmith–Volterra–Cantor setSpace-filling curveThe Mathematical IntelligencerTibor RadóTotally disconnectedTransactions of the American Mathematical SocietyWacław SierpińskiWilliam Fogg Osgood
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