## Some embeddings and nonimmersions of real projective spaces

### Donald M. Davis and Vitaly Zelov

#### Abstract

We prove the following new results. 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}.
If alpha(n)>2, then RP^{8n+4} can be immersed in R^{16n+1}. To compare these
with other results, click here. The method is
obstruction theory.
Postscript file of paper