Some new immersion results for complex projective space
| dc.creator | Davis, Donald M. | |
| dc.date | 2006-02-21 | |
| dc.date.accessioned | 2026-07-07T07:03:40Z | |
| dc.date.available | 2026-07-07T07:03:40Z | |
| dc.description | 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. | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/math/0602472 | |
| dc.identifier | http://arxiv.org/abs/math/0602472 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/109058 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 57R42; 55S35 | |
| dc.title | Some new immersion results for complex projective space | |
| dc.type | text |