螺线管的同态  

HOMOMORPHISM BETWEEN SOLENOIDS

作　　者：袁大琏[1] 吕杰[1] 

机构地区：[1]华南师范大学数学科学学院,广东广州510631

出　　处：《华南师范大学学报（自然科学版）》2007年第2期11-17,共7页Journal of South China Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(10471049)

摘　　要：把整数的整除概念推广到整数序列上;从映射序列的角度刻画两个螺线管之间的同态群;证明螺线管同胚、同构和映射序列等价两两等价.The concept of integer devisability is generalized to integer sequences. The homomorphism group between two solenoids is characterized in terms of the bonding map sequences. The equivalence of the following three conditions is proved ： two solenoids are homeomorphic; they are isomorphic; the two bonding map sequences are equivalent.

关 键 词：螺线管 同态 同构 逆极限 拓扑群 连续统 

分 类 号：O189[理学—数学]