Regular Maps on Euclidean Spaces and Tori
Algebraic Topology
2016-10-05 v4
Abstract
A map from a manifold to a Euclidean space is said to be k-regular if the image of any distinct k points are linearly independent. In this paper, we give some lower bounds of the dimension of the ambient Euclidean space for complex k-regular maps on Euclidean spaces.
Keywords
Cite
@article{arxiv.1511.01596,
title = {Regular Maps on Euclidean Spaces and Tori},
author = {Shiquan Ren},
journal= {arXiv preprint arXiv:1511.01596},
year = {2016}
}
Comments
This paper has been withdrawn by the author because the content of this paper has been corrected and merged with another paper arXiv:1511.01601