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递归集不收敛的一个充分条件
  • ISSN号：1478-9906
  • 期刊名称：《系统科学与信息学报：英文版》
  • 时间：0
  • 分类：O174.12[理学—数学;理学—基础数学]
  • 作者机构：[1]武汉工业学院数理科学系,湖北武汉430023, [2]江西上饶师范学院数学系,江西上饶334000
  • 相关基金：国家自然科学基金资助项目（10671081）;武汉工业学院校基金资助项目（06Y14）.
作者： 刘春苔[1], 邓国栋[2]
关键词： 递归集, 收敛, 同态映射, recurrent sets, convergence , hemomorphism map
中文摘要：

通过实例证明了Dekking关于递归集的一个论断：＂Lσ的特征值的模有一个小于1,Kn则不收敛.＂是不正确的.利用Hausdorff度量的性质,给出了一个递归集收敛的充分条件：当Lσ有一个特征值小于1,而S为σ的本性元,则Km不收敛.

英文摘要：

The author points out a gap in a claim on Recurrent Sets ‘If Lσ has an eigenvalue with model less than one, then Km doesn＇t converge. ＇ Using the properties of Hausdorff metric, the author gives a sufficient condition to the unconvergence of the recurrent sets ： when Lσ has an eigenvalue with model 〈 1, and S is primitive of σ, then Km, doesn＇t converge.

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期刊信息
  • 《系统科学与信息学报：英文版》
  • 主管单位:
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  • 地址：北京交通大学
  • 邮编：100044
  • 邮箱：kumarpatel@researchinformation.co.uk
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  • 国际标准刊号：ISSN：1478-9906
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  • 被引量:0