Immersions of RP^{2^e-1}
代数拓扑
2016-01-20 v2
摘要
We prove that RP^{2^e-1} can be immersed in R^{2^{e+1}-e-7} provided e>6. If e>13, this is 1 better than previously known immersions. Our method is primarily an induction on geometric dimension, with compatibility of liftings being a central issue.
引用
@article{arxiv.math/0701327,
title = {Immersions of RP^{2^e-1}},
author = {Donald M. Davis and Giora Dula and Jesus Gonzalez and Mark Mahowald},
journal= {arXiv preprint arXiv:math/0701327},
year = {2016}
}
备注
Corrected gap in proof. Result slightly weaker, but still new. Outline of proof similar but details are different. Added coauthor