RELATIONS BETWEEN GENERALIZED HOMOLOGY GROUP AND ITS COEFFICIENT GROUP

作     者：周学光 ZHOU XUEGUANG (Nan Kai University, Tianjin)

作者机构：Nan Kai University Tianjin 

出 版 物：《Science in China,Ser.A》 (中国科学A辑(英文版))

年 卷 期：1983年第9期

页      面：909-918页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：RELATIONS BETWEEN GENERALIZED HOMOLOGY GROUP AND ITS COEFFICIENT GROUP ITS 

摘      要：In this paper, we shall study the relation between generalized homology group and its coefficient group E. For any element α∈π_≠(F) and any spectrum F, we define the Hurewicz homomorphism Φ_a: E→E(F). When α is a basic element, and E,F satisfy certain conditions, it is verified that Φ_α is a splitting homomorphism. Thus Hattori-Stong’s theorem is generalized.