Immersions of RP^{2^e-1}

Details Immersions of RP^{2^e-1} Immersions of RP^{2^e-1}

2007-01-11

arxiv.org/abs/math/0701327v2

Mathematics

Algebraic Topology

Corrected gap in proof. Result slightly weaker, but still new. Outline of proof similar but details are different. Added coaut

Scientific paper

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.

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