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对合的分解
引用本文:干丹岩.对合的分解[J].数学研究及应用,1991,11(1):52-56.
作者姓名:干丹岩
作者单位:浙江大学数学系
基金项目:国家自然科学基金资助项目.
摘    要:Using the notion of biconnected sum we define the biconnected sum (T1, M1)§(T2,M2) of two involutions (T1M1) and (T2,M2) which is an involution on the biconnected sum M1,§M2. A connected involution is said to be reducible if it can be expressed as a biconnected sum of two connected involutions.Theorem Each connected involution (T, M) can be decomposed into a bi-connected sum of connected irreducible involutions (T, M)=(T1, M1)§…§(Tq,Mq),and (?) where the coefficients of Hn_1(M) are in Z/2 Z if M is unoriented, in Z if is oriented .

关 键 词:对合  流形  分解  双连勇和  存在性
收稿时间:1990/9/27 0:00:00

Decomposition of Involutions
Gan Danyan.Decomposition of Involutions[J].Journal of Mathematical Research with Applications,1991,11(1):52-56.
Authors:Gan Danyan
Institution:Zhejiang University; Hangzhou
Abstract:
Keywords:
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