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研究生： 陳泰蔚
Tai-Wei Chen
論文名稱： 關於湯姆譜序列之穩定同倫類型
On the Stable Homotopy Type of Certain Thom Spectra
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： 2002
畢業學年度： 90
語文別： 英文
論文頁數： 11
中文關鍵詞： 湯姆譜序列
外文關鍵詞： Thom spectrum
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    • Mark Mahowald最先證明H(Z/2)是一個湯姆譜序列.而我們這篇論文主要是將上述的定理做一個推廣.

    It is well-known that H(Z/2) is a Thom spectrum, observed by Mark Mahowald. In this paper, our main purpose is to give a generalization of this. The generalization is observed by Dung-Yung Yan.

    1.Introduction.................1 (1)Theorem 1.1.................2 (2)Theorem 1.2.................3 (3)Corollary 1.4...............3 2.Proof of Our Theorems........3 (1)Theorem 2.1.................4 (2)Remark 2.2..................4 (3)Theorem 2.3.................5 (4)Lemma 2.5...................5 (5)Proof of Theorem 1.1........7 (6)Proof of Theorem 1.2........8 (7)Proof of Corollary1.4......10 3.Reference...................11

    [1]L.G. Lewis, Jr., J.P. May, M. Steinberger, Equivariant stable homotopy theory. Lecture notes in mathematics 1213, Springer-Verlag, 1986, New York.
    [2]A.L. Liulevicius, A proof of Thom's theorem. Comment. Math. Helv. 37 (1962), pp. 121-131.
    [3]Mark Mahowald, A new infinite family in $_2\pi_*^s$, Topology 16 (1977), pp. 249-256.
    [4]Mark Mahowald, Ring spectra which are Thom complexes, Duke Math. J. 46 (1979), pp. 549-559.
    [5]J.W. Milnor and J.C. Moore, On the structure of Hopf algebras, Ann. of Math. 81 (1965), pp. 211-264.
    [6]S. Priddy, K(Z/2) as a Thom spectrum, Proceeding of American Mathematical Society Vol. 70, number 2 (1978), pp. 207-208.
    [7]Dung-Yung Yan, Homotopy type of the Thom spectra induced from the nonorientable double loop maps, preprint.

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