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On the rectangle property for plane continua and immersed topological hypersurfaces

✍ Scribed by Bernd Wegner

Publisher
Springer
Year
1990
Tongue
English
Weight
644 KB
Volume
33
Category
Article
ISSN
0046-5755

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✦ Synopsis

A subset of Euclidean space is said to satisfy the rectangle property if no rectangle has exactly three vertices in this subset. According to Besicovitch and Dnazer, circles are characterized by this property among convex curves. Here, more general characterizations of this type are presented.

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