Immersions of RP^{2^e-1}
Donald M. Davis, Giora Dula, and Mark Mahowald
dmd1@lehigh.edu
giora@mail.netanya.ac.il
mark@math.northwestern.edu
Abstract:
We prove that RP^{2^e-1} can be immersed in R^{2^{e+1}-e-8}
provided e>6. If e>13, this is 2 better than previously known
immersions. Our method is primarily an induction on geometric
dimension, incorporating also sections obtained from the
Radon-Hurwitz theorem.