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

Young, Sam W.

doi:10.1090/S0002-9939-1986-0835900-4

Concerning the function equation $f(g)=f$, regular mappings and periodic mappings
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by Sam W. Young PDF

Proc. Amer. Math. Soc. 97 (1986), 367-371 Request permission

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 $g$.

References

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Über regulare Abbildingen von Flachen auf sich

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