螺线管的同态[J]. 华南师范大学学报(自然科学版), 2007, 1(2).
引用本文: 螺线管的同态[J]. 华南师范大学学报(自然科学版), 2007, 1(2).
Homomorphism between solenoids[J]. Journal of South China Normal University (Natural Science Edition), 2007, 1(2).
Citation: Homomorphism between solenoids[J]. Journal of South China Normal University (Natural Science Edition), 2007, 1(2).

螺线管的同态

Homomorphism between solenoids

  • 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.

     

    Abstract: 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. It is proved that two solenoids are homeomorphic if and only if they are isomorphic if and only if the two bonding map sequences are equivalent.

     

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