Some new embeddings and nonimmersions of real projective spaces
Algebraic Topology
2007-05-23 v1
Abstract
We use obstruction theory to prove that if alpha(n)=2, then RP^{16n+8} cannot be immersed in R^{32n+3} and RP^{16n+10} cannot be immersed in R^{32n+11}, and that if alpha(n)>2, then RP^{8n+4} can be embedded in R^{16n+1}. These are new results.
Cite
@article{arxiv.math/9803087,
title = {Some new embeddings and nonimmersions of real projective spaces},
author = {Donald M. Davis and Vitaly Zelov},
journal= {arXiv preprint arXiv:math/9803087},
year = {2007}
}
Comments
12 pages. Submitted to Boardman Conference Proceedings. See also http://www.lehigh.edu/~dmd1/pubs.html