簡易檢索 / 詳目顯示

回結果列表
研究生： 黃崇理
Chong-Li Huang
論文名稱： Mitchell-Priddy 空間的K理論穩定同倫分解
Stable Splittings of Complex Connective K-theory of Mitchell-Priddy Summand
指導教授： 顏東勇
Dung-Yung Yan
口試委員:
學位類別： 碩士
Master
系所名稱： 理學院 - 數學系
Department of Mathematics
論文出版年： 2006
畢業學年度： 94
語文別： 英文
論文頁數： 11
中文關鍵詞： M(k)的K理論穩定同倫分解
外文關鍵詞： complex connective K-theory
相關次數： 點閱：3  下載：0 
分享至:
查詢本校圖書館目錄 查詢臺灣博碩士論文知識加值系統 勘誤回報

    • Let M(k) be the Mitchell-Priddy summand, which is constructed by Mitchell and Priddy [1]. Mitchell and Priddy [1] also showed that M(k) homeomorphic to L(k) wedge L(k-1). We show that cohomology of L(k) is a free E-module for k=2,3, where E is the exterior algebra generated by Q_0 and Q_1. Then the connective K-theory of L(k) splits into copies of HZ/2, the Z/2 Eilenberg-Mac Lane spectrum, for k=2,3. Hence M(3) splits into copies of HZ/2.

    1.ABSTRACT………………………………………………………………i 2.INTRODUCTION…………………………………………………………ii 3.PROOF OF THEOREM 1…………………………………………………1 4.PROOF OF THEOREM 2…………………………………………………4 5.PROOF OF THEOREM 3…………………………………………………7 6.COMPARISON BETWEEN THE E-MODULE STRUCTURES OF AND THE FREE E-SUBMODULE OF ………………………………………………10 7.REFERENCES……………………………………………………………11

    [1] S. Mitchell and S. Priddy, Stable splittings derived from the Steinberg Module. Topology 22 (1983), no. 3, 285--298.
    [2] S. Mitchell and S. Priddy, Symmetric product spectra and splittings of classifying spaces. Amer. J. Math. 106 (1984), no. 1, 219--232.
    [3] I. M. James, E. Thomas, H. Toda and G. W. Whitehead, On the symmetric square of a sphere. J. Math. Mech. 12(1963), 771-776.
    [4] D. C. Johnson and W. S. Wilson, On a theorem of Ossa. Proc. Amer. Math. Soc. 125 no.12 (1997), 3753-3755.
    [5] A. Liulevicius. The cohomology of Massey-Peterson algebras, Math. Zeitschr. 105 (1968) 226-256. MR 38:1680
    [6] D. Y. Yan, Stable splittings of the complex connective K-theory of BO(n), preprint, 2005.

    無法下載圖示 全文公開日期 本全文未授權公開 (校內網路)
    全文公開日期 本全文未授權公開 (校外網路)

    QR CODE