On the periodic points of a typical continuous function

K. Simon
1989 Proceedings of the American Mathematical Society  
Let n and k be arbitrary natural numbers. We prove that for a typical continuous function f , every neighborhood of any periodic point of / with period n contains periodic points of / with period n • k .
doi:10.1090/s0002-9939-1989-0929418-0 fatcat:i22umvik3najfloar7gnfoubf4