Families of surfaces lying in a null set

Details Families of surfaces lying in a null set Families of surfaces lying in a null set

2004-01-20

arxiv.org/abs/math/0401249v1

Mathematika 51 (2004), 155--162

Mathematics

Classical Analysis and ODEs

7 pages. To appear in Mathematika

Scientific paper

We generalise a result of Sawyer to show the following: For each y\in R^p and
w\in R^q let \Gamma(y,w) be a measurable d-dimensional surface in R^n. Under
conditions on the number of parameters and smoothness assumptions, there exists
a set of measure zero that includes a \Gamma(y,w) for every y.

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