臺灣博碩士論文加值系統

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 $_2 i_*^s$, 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.