Concerning the Function Equation f(g) = f, Regular Mappings and Periodic Mappings

Sam W. Young
1986 Proceedings of the American Mathematical Society  
Under certain conditions on the space X, given /: X -» Y is light and g: X -» X, the equation f(g) = f yields only periodic solutions for _■ 1. Introduction. In [M, p. 238], Mioduszewski proved the following theorem:
doi:10.2307/2046533 fatcat:kue27wzcu5b2va54dhovks5lku