Families of surfaces lying in a null set
Classical Analysis and ODEs
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.math/0401249,
title = {Families of surfaces lying in a null set},
author = {Laura Wisewell},
journal= {arXiv preprint arXiv:math/0401249},
year = {2007}
}
Comments
7 pages. To appear in Mathematika