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Jordan Curves of Positive Lebesgue Measure

  • Sagan H
DOI: 10.1007/978-1-4612-0871-6_8
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Abstract

We know from Netto’s theorem (Theorem 6.4) that plane curves that do not cross (or touch) themselves cannot be space-filling. We will show in this chapter that it is still possible for such curves to have a positive two-dimensional Lebesgue measure.

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APA

Sagan, H. (1994). Jordan Curves of Positive Lebesgue Measure (pp. 131–143). https://doi.org/10.1007/978-1-4612-0871-6_8

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