Self-maps of p-local infinite projective spaces
文献类型：期刊论文
| 作者 | Lin XianZu2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2012 |
| 卷号 | 55期号:4页码:739-744 |
| 关键词 | COMPACT GROUPS CLASSIFICATION OPERATIONS infinite projective space self-map integer-valued polynomial |
| ISSN号 | 1674-7283 |
| 其他题名 | Self-maps of p-local infinite projective spaces |
| 英文摘要 | Denote by Z((p)) (resp.(Z) over cap (p)) the p localization (resp. p completion) of Z. Then we have the canonical inclusion Z((p)) hooked right arrow(Z) over cap (p). Let S-(p)(2n-1) be the p-local (2n-1)-sphere and let B-(p)(2n) be a connected p-local space satisfying S-(p)(2n-1) similar or equal to Omega B-(p)(2n); then H*(B-(p)(2n), Z((p))) = Z((p))u with |u| = 2n. Define the degree of a self-map f of B-(p)(2n) to be k is an element of Z((p)) such that f*(u) = ku. Using the theory of integer-valued polynomials we show that there exists a self-map of B-(p)(2n) of degree k if and only if k is an n-th power in (Z) over cap ((p)). |
| 语种 | 英语 |
| CSCD记录号 | CSCD:4537871 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/53517]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.中国科学院数学与系统科学研究院 2.福建师范大学 |
| 推荐引用方式 GB/T 7714 | Lin XianZu. Self-maps of p-local infinite projective spaces[J]. SCIENCE CHINA-MATHEMATICS,2012,55(4):739-744. |
| APA | Lin XianZu.(2012).Self-maps of p-local infinite projective spaces.SCIENCE CHINA-MATHEMATICS,55(4),739-744. |
| MLA | Lin XianZu."Self-maps of p-local infinite projective spaces".SCIENCE CHINA-MATHEMATICS 55.4(2012):739-744. |
入库方式： OAI收割
来源：数学与系统科学研究院
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