Abstract
It is proved that the Birkhoff center of a homeomorphism on an arbitrary metric space coincides with the Birkhoff center of its power 2.
References
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 5, pp. 705–707, May, 2006.
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Vlasenko, I.Y., Polulyakh, E.O. On iteration stability of the Birkhoff center with respect to power 2. Ukr Math J 58, 794–797 (2006). https://doi.org/10.1007/s11253-006-0102-9
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DOI: https://doi.org/10.1007/s11253-006-0102-9