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Concerning the function equation $ f(g)=f$, regular mappings and periodic mappings


Author: Sam W. Young
Journal: Proc. Amer. Math. Soc. 97 (1986), 367-371
MSC: Primary 54C10; Secondary 54F20, 54F62, 54H20
DOI: https://doi.org/10.1090/S0002-9939-1986-0835900-4
MathSciNet review: 835900
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Abstract: Under certain conditions on the space $ X$, given $ f:X \twoheadrightarrow Y$ is light and $ g:X \twoheadrightarrow X$, the equation $ f(g) = f$ yields only periodic solutions for $ g$.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1986-0835900-4
Keywords: Function equation, regular mapping, periodic mapping, light mapping, finite graph, orientable surface
Article copyright: © Copyright 1986 American Mathematical Society

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