Some embeddings and nonimmersions of real projective spaces

Donald M. Davis and Vitaly Zelov


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.

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