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关于三进螺线管的代数结构
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摘要
本文建立了三进螺线管与Knaster连续统的关系,以及依照二进螺线管上的代数结构给出三进螺线管的某些代数性质。主要是关于三进螺线管中单位元的n方根,和元素的阶的一些结果。
The relations between the ternary solenoid and Knaster continuum was established in this paper, and according to the algebraic construction of the dyadic solenoid, the algebraic properties of the ternary solenoid was presented.
     What it includes is mainly about the nth root of the identify and the order of the element in the ternary solenoid.
引文
[1] David P.Bellamy,Homeomorphisms of composant, Houston Journal of Mathematics, 1979.
    [2] J.M.Aarts and R.J.Fokkink,The classification of solenoids,AMS vol.111,1991.
    [3] J.M.Aarts and R.J.Fokkink,Fixed points of the bucket handle,AMS Vol.126,1998.
    [4] ZHOU Youcheng,Covering mapping on solenoids and their dynamical properties,Chinese Science Bulletin vol.45,2000.
    [5] J.J.Chartonik,Confluent mappings and unicoherence of continua,Fuund.Math.56,1964.
    [6] K.Kuratowski,Topology Vol.II,Academic Press,1968.
    [7] Jan Van Mill,The infinite-dimensional topology of function spaces,Elsevier,2001.
    [8] S.B.Nadler,Continuum Theory,Monographs and textbooks in pure and applied math,1978.

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