Some new embeddings and nonimmersions of real projective spaces
Donald M. Davis, Vitaly Zelov
math.ATarXiv:math/9803087
Abstract
We use obstruction theory to prove that if alpha(n)=2, then RP16n+8 cannot be immersed in R32n+3 and RP16n+10 cannot be immersed in R32n+11, and that if alpha(n)>2, then RP8n+4 can be embedded in R16n+1. These are new results.
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