Nielsen type numbers and homotopy minimal periods for maps on the 3-nilmanifolds
Nielsen type numbers and homotopy minimal periods for maps on the 3-nilmanifolds
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3-尼尔流形上的映射的 Nielsen 型数和同伦最小周期
DOI：
10.1007/s11425-008-0003-5
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发表时间：
2008-03-01
期刊：
影响因子：
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通讯作者：
Zhao Xuezhi
中科院分区：
文献类型：
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作者：
Lee, Jong Bum;Zhao Xuezhi
对于3-零流形上的所有连续映射，我们给出了完全计算Nielsen型数Npn(F)和NPhi(N)(F)的显式公式。希思和凯珀尔曼对最一般的情形进行了探讨，并对其中的补充部分进行了研究。在研究3-零流形上所有映射的同伦极小周期的同时，我们还给出了3-零流形上所有映射的同伦极小周期的完整刻画，包括对Jezierski和Marzantowicz的结果的修正。
For all continuous maps on the 3-nilmanifolds, we give explicit formulae for a complete computation of the Nielsen type numbers NPn (f) and N Phi (n) (f). The most general cases were explored by Heath and Keppelmann and the complementary part is studied in this paper. While studying the homotopy minimal periods of all maps on the 3-nilmanifolds, we also give a complete description of the homotopy minimal periods for all maps on the 3-nilmanifolds, including a correction to Jezierski and Marzantowicz's result.