SOME NEW IMMERSION RESULTS FOR COMPLEX PROJECTIVE SPACE
نویسندگان
چکیده
منابع مشابه
Some New Immersion Results for Complex Projective Space
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, a...
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Adem and Gitler showed in [4] and [7] that RPn has a best possible immersion in R2n'i for n=X mod 4 and <*(«) = 3. These results are interesting only for small values of a(«) due to Milgram's construction of linear immersions in [21]. The method of proof consists of expressing certain obstructions to the lifting of an appropriate map by AdamsMaunder operations and then evaluating these operatio...
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ژورنال
عنوان ژورنال: Proceedings of the Edinburgh Mathematical Society
سال: 2008
ISSN: 0013-0915,1464-3839
DOI: 10.1017/s0013091506000277