Homeomorphisms on compact metric spaces with finite derived length

Authors

  • V. Kannan University of Hyderabad
  • Sharan Gopal Birla Institute of Technology and Science - Pilani

DOI:

https://doi.org/10.4995/agt.2016.4593

Keywords:

ordinal, homeomorphism, periodic point

Abstract

The sets of periodic points of self homeomorphisms on an ordinal of finite derived length are characterised, thus characterising the same for homeomorphisms on compact metric spaces with finite derived length. A partition of ordinal is introduced to study this problem which is also used to solve two more problems: one about an equivalence relation and the other about a group action, both on an ordinal of finite derived length.

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Author Biographies

V. Kannan, University of Hyderabad

Professor

School of Mathematics and Statistics

Sharan Gopal, Birla Institute of Technology and Science - Pilani

Assistant Professor.

Department of Mathematics

References

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Published

2016-10-03

How to Cite

[1]
V. Kannan and S. Gopal, “Homeomorphisms on compact metric spaces with finite derived length”, Appl. Gen. Topol., vol. 17, no. 2, pp. 129–137, Oct. 2016.

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