Sections of Serre fibrations with low-dimensional fibers
Geometric Topology
2007-05-23 v1
Abstract
It was proved by H. Whitney in 1933 that it is possible to mark a point in all curves in a continuous way. The main result of this paper extends the Whitney theorem to dimensions 2 and 3. Namely, we prove that it is possible to choose a point continuously in all two-dimensional surfaces sufficiently close to a given surface, and in all 3-manifolds sufficiently close to a given 3-manifold.
Cite
@article{arxiv.math/0208192,
title = {Sections of Serre fibrations with low-dimensional fibers},
author = {N. Brodsky and A. Chigogidze and E. V. Shchepin},
journal= {arXiv preprint arXiv:math/0208192},
year = {2007}
}
Comments
22 pages