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Some New Immersion Results for Complex Projective Space by Davis, Donald M. is a scholarly article available to read on EtoBox.

What is Some New Immersion Results for Complex Projective Space about?

We prove the following two new optimal immersion results for complex projective space. First, if n equiv 3 mod 8 but n not equiv 3 mod 64, and alpha(n)=7, then CP^n can be immersed in R^{4n-14}. Second, if n is even and alpha(n)=3, then CP^n can be immersed in R^{4n-4}. Here alpha(n) denotes the number of 1's in the binary expansion of n. The first contradicts a result of Crabb, who said that such an immersion does not exist, apparently due to an arithmetic mistake.

Author

Davis, Donald M.

Published

2006

Language

EN