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研究生： 吳宗軒
Wu, Tsung-Hsuan
論文名稱： 奇數正交群之分類空間之K理論的穩定分解
Stable splitting of the complex connective K-theory of BSO(2n+1)
指導教授： 顏東勇
Yan, Dung-Yung
口試委員: 王信華
Wang, Shin-Hwa
潘戍衍
Pan, Shu-Yen
李華倫
Li, Hua-Lun
翁秉仁
Ong, Ping-Zen
學位類別： 博士
Doctor
系所名稱： 理學院 - 數學系
Department of Mathematics
論文出版年： 2018
畢業學年度： 106
語文別： 英文
論文頁數： 21
中文關鍵詞： 代數拓樸 、複連通K理論 、分類空間 、亞當斯譜序列
外文關鍵詞： algebraic topology, complex connective K-theory, classifying space, Adams spectral sequence
相關次數： 點閱：2  下載：0 
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    • 透過上同調作為外代數 E=ℤ/2<Q₀, Q₁> 模的代數分解，我們完整的分解了BSO(2n+1)的複連通K理論。

    Through the algebraic splitting of the cohomology over the exterior algebra E=ℤ/2<Q₀, Q₁>, we give the complete stable splitting of the complex connective K-theory of BSO(2n+1), n≥1.

    1.Introduction ---------------------------------------------page 1 2.The Adams spectral sequences for bu∧X --------------------page 4 3.The E₂ term of the Adams spectral sequences for bu∧BO(n) -page 7 4.The map Bg_{2n}:BO(2n)→BSO(2n+1) ------------------------page 11 5.Proof of Theorem A ---------------------------------------page 15 6.Proof of Theorem B ---------------------------------------page 17 7.Reference-------------------------------------------------page 21

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    [12] Tsung-Hsuan Wu, Stable splittings of the complex connective K-theory of BSO(2n + 1), Math. J. Okayama Univ. 60 (2018), 73-89.
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