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度量G-空间中G-强链回归点集的动力学性质

冀占江

冀占江. 度量G-空间中G-强链回归点集的动力学性质[J]. 华南师范大学学报(自然科学版), 2022, 54(2): 115-119. doi: 10.6054/j.jscnun.2022034
引用本文: 冀占江. 度量G-空间中G-强链回归点集的动力学性质[J]. 华南师范大学学报(自然科学版), 2022, 54(2): 115-119. doi: 10.6054/j.jscnun.2022034
JI Zhanjiang. The Dynamical Property of G-Strong Chain Recurrent Point Set in Metric G-space[J]. Journal of South China normal University (Natural Science Edition), 2022, 54(2): 115-119. doi: 10.6054/j.jscnun.2022034
Citation: JI Zhanjiang. The Dynamical Property of G-Strong Chain Recurrent Point Set in Metric G-space[J]. Journal of South China normal University (Natural Science Edition), 2022, 54(2): 115-119. doi: 10.6054/j.jscnun.2022034

度量G-空间中G-强链回归点集的动力学性质

doi: 10.6054/j.jscnun.2022034
基金项目: 

广西自然科学基金项目 2020JJA110021

梧州学院校级重点项目 2020B007

详细信息
    通讯作者:

    冀占江,Email:1395954261@qq.com

  • 中图分类号: O189.11

The Dynamical Property of G-Strong Chain Recurrent Point Set in Metric G-space

  • 摘要: 在拓扑群作用下的度量空间中研究了G-强链回归点集的拓扑结构和特征,得到G-强链回归点集的若干结论:(1)设(X, d)是紧致度量G-空间,G是紧致的拓扑群,f: XX连续,则SCRG(f)是闭集; (2)设(X, d)是紧致度量G-空间,G是紧致的拓扑群,f: XX同胚伪等价,则f(SCRG(f))=SCRG(f); (3)设(X, d)是紧致度量G-空间,f: XX同胚伪等价且度量d对群G不变,则SCRG(f)=SCRG(f-1)。
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出版历程
  • 收稿日期:  2021-04-24
  • 网络出版日期:  2022-05-12
  • 刊出日期:  2022-04-25

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