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Squarability

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Jordan measurability of a set in the plane (cf. Jordan measure). Not every domain (that is, a connected open set) and, furthermore, not every Jordan domain (that is, a domain having a simple closed curve as its boundary) is squarable. On the other hand, a set whose boundary is a rectifiable curve is squarable.

References

[1] S.M. Nikol'skii, "A course of mathematical analysis" , 2 , MIR (1977) (Translated from Russian)
How to Cite This Entry:
Squarability. V.V. Sazonov (originator), Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Squarability&oldid=12193
This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098