Some New Immersion Results for Complex Projective Space
نویسنده
چکیده
We prove the following two new optimal immersion results for complex projective space. First, if n 3 mod 8 but n 6 3 mod 64, and (n) = 7, then CP can be immersed in R 4n 14 . Second, if n is even and (n) = 3, then CP can be immersed in R 4 . Here (n) denotes the number of 1's in the binary expansion of n. The rst contradicts a result of Crabb, which said that such an immersion does not exist, apparently due to an arithmetic mistake. We combine Crabb's method with that developed by the author and Mahowald.
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تاریخ انتشار 2006