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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Periodic points of continuous maps and Lindemann's independence theorem for exponentials


Author: Dean A. Neumann
Journal: Proc. Amer. Math. Soc. 61 (1976), 169-170
MSC: Primary 55C20
MathSciNet review: 0433444
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Abstract: We give a simple proof of the sufficiency of known conditions for the existence of periodic points of a continuous map, using a classical theorem of Lindemann on transcendental numbers.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0433444-9
PII: S 0002-9939(1976)0433444-9
Keywords: Lefschetz number, fixed points for iterates
Article copyright: © Copyright 1976 American Mathematical Society