Some new embeddings and nonimmersions of real projective spaces

Details Some new embeddings and nonimmersions of real projective spaces Some new embeddings and nonimmersions of real projective spaces

1998-03-19

arxiv.org/abs/math/9803087v1

Mathematics

Algebraic Topology

12 pages. Submitted to Boardman Conference Proceedings. See also http://www.lehigh.edu/~dmd1/pubs.html

Scientific paper

We use obstruction theory to prove that 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}, and
that if alpha(n)>2, then RP^{8n+4} can be embedded in R^{16n+1}. These are new
results.

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