Homeomorphisms on compact metric spaces with finite derived length

V Kannan, Sharan Gopal


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.


ordinal; homeomorphism; periodic point

Subject classification

06A99; 54H20.

Full Text:



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Universitat Politècnica de València

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