臺灣博碩士論文加值系統

利用在特定係數中BO(2)可以被分解成為BSO(3)和Y2兩部分的特性.在經由一些函數的運送,我們在本篇文章中觀察Y2下同調的生成元.
我們給出生成元當中由兩個奇數次維度所合成的生成元的一般通式.

By considering BO(2) is stable splited by BSO(3) and Y2 when localized prime 2 in Yan's paper [1], we give the general form of special generators of mod 2 homology of Y2.

Contents
1.Introduction………………………………………1

2.Statement of the Main Result
And Proof of Main Theorem……………………3

(1) Theorem 1………………………………………3

(2) Lemma 2…………………………………………3

(3) Lemma 3…………………………………………5

(4) Corollary 4……………………………………6

(5) Proposition5 …………………………………7

3.Reference…………………………………………17

[1]Yan, Dung Yung:Stable splittings of BO(2n) and BU(2n). Proc. Amer. Math. Soc. 1 124,No.6(1996),1913-1915.

[2]Yan, Dung Yung:Stable splittings of the quotient spaces BO(2n)/BO(2n+1) and BU(np)/BU(np-p).Forum Math. 11(1999),211-227

[3]N.E.Steenord:Cohomology operations.. Princeton University Press(1962), 5-6