Some new embeddings and nonimmersions of real projective spaces

الأصل · EN

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.