### Abstract

Let C denote the set of continuous functions mapping [0, 1] into itself endowed with sup norm. It is proved that the set f о f: f ∈ C is nowhere dense in C.

Original language | English |
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Pages (from-to) | 1141-1143 |

Number of pages | 3 |

Journal | Proceedings of the American Mathematical Society |

Volume | 111 |

Issue number | 4 |

DOIs | |

Publication status | Published - Apr 1991 |

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### ASJC Scopus subject areas

- Mathematics(all)
- Applied Mathematics