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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The significant cylindrical condition and a Hausdorff rectifiable set


Author: J. C. Breckenridge
Journal: Proc. Amer. Math. Soc. 37 (1973), 549-552
MSC: Primary 28A75
MathSciNet review: 0311876
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Abstract: Area measures of the Geöcze type can be constructed for continuous parametric surfaces of finite Lebesgue area provided the surface satisfies the significant cylindrical condition. It is shown that requiring this condition is equivalent to requiring the Hausdorff rectifiability of a certain subset of the range of the surface.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1973-0311876-4
PII: S 0002-9939(1973)0311876-4
Keywords: Surface area, area measures
Article copyright: © Copyright 1973 American Mathematical Society